88754641920 has 1232 divisors, whose sum is σ = 378026204160. Its totient is φ = 19564167168.

The previous prime is 88754641919. The next prime is 88754642021. The reversal of 88754641920 is 2914645788.

It is a happy number.

88754641920 is a `hidden beast` number, since 8 + 8 + 7 + 546 + 4 + 1 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1123476441 + ... + 1123476519.

Almost surely, 2^88754641920 is an apocalyptic number.

88754641920 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 88754641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189013102080).

88754641920 is an abundant number, since it is smaller than the sum of its proper divisors (289271562240).

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

88754641920 is an equidigital number, since it uses as much as digits as its factorization.

88754641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 88754641920 in words is "eighty-eight billion, seven hundred fifty-four million, six hundred forty-one thousand, nine hundred twenty".