87979094400 has 96 divisors (see below), whose sum is σ = 289781173800. Its totient is φ = 23461089280.

The previous prime is 87979094383. The next prime is 87979094513. The reversal of 87979094400 is 449097978.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87979094400² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4572645 + ... + 4591844.

Almost surely, 2^87979094400 is an apocalyptic number.

87979094400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87979094400 is an abundant number, since it is smaller than the sum of its proper divisors (201802079400).

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

87979094400 is a wasteful number, since it uses less digits than its factorization.

87979094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164516 (or 9164499 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 87979094400 in words is "eighty-seven billion, nine hundred seventy-nine million, ninety-four thousand, four hundred".