88730758905600 has 1728 divisors, whose sum is σ = 360761159808000. Its totient is φ = 19144704983040.

The previous prime is 88730758905589. The next prime is 88730758905661. The reversal of 88730758905600 is 650985703788.

It is a super-2 number, since 2×88730758905600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 39665067682 + ... + 39665069918.

Almost surely, 2^{88730758905600} is an apocalyptic number.

88730758905600 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 88730758905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180380579904000).

88730758905600 is an abundant number, since it is smaller than the sum of its proper divisors (272030400902400).

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

88730758905600 is a wasteful number, since it uses less digits than its factorization.

88730758905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 88730758905600 in words is "eighty-eight trillion, seven hundred thirty billion, seven hundred fifty-eight million, nine hundred five thousand, six hundred".