87875057088 has 1260 divisors, whose sum is σ = 346233262320. Its totient is φ = 21919113216.

The previous prime is 87875057087. The next prime is 87875057099. The reversal of 87875057088 is 88075057878.

87875057088 is a `hidden beast` number, since 8 + 7 + 8 + 7 + 50 + 570 + 8 + 8 = 666.

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 (87875057087) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 987360148 + ... + 987360236.

Almost surely, 2^87875057088 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 87875057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173116631160).

87875057088 is an abundant number, since it is smaller than the sum of its proper divisors (258358205232).

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

87875057088 is a wasteful number, since it uses less digits than its factorization.

87875057088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 63.

The spelling of 87875057088 in words is "eighty-seven billion, eight hundred seventy-five million, fifty-seven thousand, eighty-eight".