48531026880 has 1008 divisors, whose sum is σ = 206415046656. Its totient is φ = 10816727040.

The previous prime is 48531026857. The next prime is 48531026953. The reversal of 48531026880 is 8862013584.

48531026880 is a `hidden beast` number, since 485 + 3 + 102 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179081145 + ... + 179081415.

It is an arithmetic number, because the mean of its divisors is an integer number (204776832).

Almost surely, 2^48531026880 is an apocalyptic number.

48531026880 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 48531026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207523328).

48531026880 is an abundant number, since it is smaller than the sum of its proper divisors (157884019776).

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

48531026880 is a wasteful number, since it uses less digits than its factorization.

48531026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48531026880 in words is "forty-eight billion, five hundred thirty-one million, twenty-six thousand, eight hundred eighty".