88126790400 has 864 divisors, whose sum is σ = 358042083840. Its totient is φ = 21030912000.

The previous prime is 88126790383. The next prime is 88126790491. The reversal of 88126790400 is 409762188.

It is a tau number, because it is divible by the number of its divisors (864).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134956474 + ... + 134957126.

It is an arithmetic number, because the mean of its divisors is an integer number (414400560).

Almost surely, 2^88126790400 is an apocalyptic number.

88126790400 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 88126790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179021041920).

88126790400 is an abundant number, since it is smaller than the sum of its proper divisors (269915293440).

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

88126790400 is a wasteful number, since it uses less digits than its factorization.

88126790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 88126790400 in words is "eighty-eight billion, one hundred twenty-six million, seven hundred ninety thousand, four hundred".