87757528320 has 1728 divisors, whose sum is σ = 411411087360. Its totient is φ = 16721510400.

The previous prime is 87757528303. The next prime is 87757528321. The reversal of 87757528320 is 2382575778.

87757528320 is a `hidden beast` number, since 87 + 7 + 5 + 7 + 528 + 32 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87757528321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691004097 + ... + 691004223.

It is an arithmetic number, because the mean of its divisors is an integer number (238085120).

Almost surely, 2^87757528320 is an apocalyptic number.

87757528320 is a gapful number since it is divisible by the number (80) 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 87757528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205705543680).

87757528320 is an abundant number, since it is smaller than the sum of its proper divisors (323653559040).

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

87757528320 is a wasteful number, since it uses less digits than its factorization.

87757528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 87757528320 in words is "eighty-seven billion, seven hundred fifty-seven million, five hundred twenty-eight thousand, three hundred twenty".