88804008844800 has 240 divisors, whose sum is σ = 294301807443072. Its totient is φ = 23604920934400.

The previous prime is 88804008844777. The next prime is 88804008844949. The reversal of 88804008844800 is 844880040888.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8224387 + ... + 15660413.

Almost surely, 2^{88804008844800} is an apocalyptic number.

88804008844800 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 88804008844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147150903721536).

88804008844800 is an abundant number, since it is smaller than the sum of its proper divisors (205497798598272).

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

88804008844800 is a wasteful number, since it uses less digits than its factorization.

88804008844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436369 (or 7436348 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 88804008844800 in words is "eighty-eight trillion, eight hundred four billion, eight million, eight hundred forty-four thousand, eight hundred".