88807641120 has 144 divisors (see below), whose sum is σ = 330606686592. Its totient is φ = 21529121280.

The previous prime is 88807641103. The next prime is 88807641149. The reversal of 88807641120 is 2114670888.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2787432 + ... + 2819111.

It is an arithmetic number, because the mean of its divisors is an integer number (2295879768).

Almost surely, 2^88807641120 is an apocalyptic number.

88807641120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88807641120 is an abundant number, since it is smaller than the sum of its proper divisors (241799045472).

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

88807641120 is a wasteful number, since it uses less digits than its factorization.

88807641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606575 (or 5606564 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

It can be divided in two parts, 88807 and 641120, that added together give a palindrome (729927).

The spelling of 88807641120 in words is "eighty-eight billion, eight hundred seven million, six hundred forty-one thousand, one hundred twenty".