75520988928 has 1080 divisors, whose sum is σ = 296892676080. Its totient is φ = 18858147840.

The previous prime is 75520988927. The next prime is 75520988947. The reversal of 75520988928 is 82988902557.

75520988928 is a `hidden beast` number, since 7 + 5 + 520 + 9 + 8 + 89 + 28 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75520988927) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 324124300 + ... + 324124532.

It is an arithmetic number, because the mean of its divisors is an integer number (274900626).

Almost surely, 2^75520988928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75520988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148446338040).

75520988928 is an abundant number, since it is smaller than the sum of its proper divisors (221371687152).

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

75520988928 is a wasteful number, since it uses less digits than its factorization.

75520988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 75520988928 in words is "seventy-five billion, five hundred twenty million, nine hundred eighty-eight thousand, nine hundred twenty-eight".