88800019560 has 768 divisors, whose sum is σ = 370925568000. Its totient is φ = 17958205440.

The previous prime is 88800019547. The next prime is 88800019577. The reversal of 88800019560 is 6591000888.

88800019560 is a `hidden beast` number, since 8 + 8 + 80 + 0 + 0 + 1 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43043089 + ... + 43045151.

It is an arithmetic number, because the mean of its divisors is an integer number (482976000).

Almost surely, 2^88800019560 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 88800019560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185462784000).

88800019560 is an abundant number, since it is smaller than the sum of its proper divisors (282125548440).

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

88800019560 is a wasteful number, since it uses less digits than its factorization.

88800019560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 88800019560 in words is "eighty-eight billion, eight hundred million, nineteen thousand, five hundred sixty".