88077580032 has 288 divisors, whose sum is σ = 261151905280. Its totient is φ = 26177126400.

The previous prime is 88077580021. The next prime is 88077580051. The reversal of 88077580032 is 23008577088.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55779819 + ... + 55781397.

Almost surely, 2^88077580032 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 88077580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130575952640).

88077580032 is an abundant number, since it is smaller than the sum of its proper divisors (173074325248).

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

88077580032 is a wasteful number, since it uses less digits than its factorization.

88077580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 88077580032 in words is "eighty-eight billion, seventy-seven million, five hundred eighty thousand, thirty-two".