88776152064 has 352 divisors, whose sum is σ = 293058345600. Its totient is φ = 26382827520.

The previous prime is 88776152063. The next prime is 88776152117. The reversal of 88776152064 is 46025167788.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 88776152064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88776152063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8925334 + ... + 8935274.

Almost surely, 2^88776152064 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 88776152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146529172800).

88776152064 is an abundant number, since it is smaller than the sum of its proper divisors (204282193536).

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

88776152064 is a wasteful number, since it uses less digits than its factorization.

88776152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 88776152064 in words is "eighty-eight billion, seven hundred seventy-six million, one hundred fifty-two thousand, sixty-four".