48127874988960 has 2304 divisors, whose sum is σ = 195061717154304. Its totient is φ = 11124486438912.

The previous prime is 48127874988943. The next prime is 48127874988961. The reversal of 48127874988960 is 6988947872184.

48127874988960 is a `hidden beast` number, since 48 + 1 + 2 + 7 + 8 + 7 + 498 + 89 + 6 + 0 = 666.

48127874988960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 48127874988960.

It is not an unprimeable number, because it can be changed into a prime (48127874988961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78003038572 + ... + 78003039188.

It is an arithmetic number, because the mean of its divisors is an integer number (84662203626).

Almost surely, 2^{48127874988960} is an apocalyptic number.

48127874988960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48127874988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97530858577152).

48127874988960 is an abundant number, since it is smaller than the sum of its proper divisors (146933842165344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48127874988960 is a wasteful number, since it uses less digits than its factorization.

48127874988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 81.

The spelling of 48127874988960 in words is "forty-eight trillion, one hundred twenty-seven billion, eight hundred seventy-four million, nine hundred eighty-eight thousand, nine hundred sixty".