88826968800 has 108 divisors (see below), whose sum is σ = 313226124120. Its totient is φ = 23687189760.

The previous prime is 88826968739. The next prime is 88826968801. The reversal of 88826968800 is 886962888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88826968801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6161340 + ... + 6175739.

It is an arithmetic number, because the mean of its divisors is an integer number (2900241890).

Almost surely, 2^88826968800 is an apocalyptic number.

88826968800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88826968800 is an abundant number, since it is smaller than the sum of its proper divisors (224399155320).

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

88826968800 is a wasteful number, since it uses less digits than its factorization.

88826968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337105 (or 12337089 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 88826968800 in words is "eighty-eight billion, eight hundred twenty-six million, nine hundred sixty-eight thousand, eight hundred".