88957440000 has 1560 divisors, whose sum is σ = 391199800992. Its totient is φ = 19906560000.

The previous prime is 88957439993. The next prime is 88957440031. The reversal of 88957440000 is 4475988.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×88957440000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 6842879994 + ... + 6842880006.

Almost surely, 2^88957440000 is an apocalyptic number.

88957440000 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 88957440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195599900496).

88957440000 is an abundant number, since it is smaller than the sum of its proper divisors (302242360992).

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

88957440000 is an equidigital number, since it uses as much as digits as its factorization.

88957440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 88957440000 in words is "eighty-eight billion, nine hundred fifty-seven million, four hundred forty thousand".