48527924376960 has 1024 divisors, whose sum is σ = 217019500646400. Its totient is φ = 9985714421760.

The previous prime is 48527924376913. The next prime is 48527924377043. The reversal of 48527924376960 is 6967342972584.

48527924376960 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 79 + 2 + 437 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46782330 + ... + 47808390.

It is an arithmetic number, because the mean of its divisors is an integer number (211933106100).

Almost surely, 2^{48527924376960} is an apocalyptic number.

48527924376960 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 48527924376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108509750323200).

48527924376960 is an abundant number, since it is smaller than the sum of its proper divisors (168491576269440).

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

48527924376960 is a wasteful number, since it uses less digits than its factorization.

48527924376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026136 (or 1026118 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 48527924376960 in words is "forty-eight trillion, five hundred twenty-seven billion, nine hundred twenty-four million, three hundred seventy-six thousand, nine hundred sixty".