93713897894400 has 1440 divisors, whose sum is σ = 408229159578240. Its totient is φ = 20841212805120.

The previous prime is 93713897894389. The next prime is 93713897894431. The reversal of 93713897894400 is 449879831739.

93713897894400 is a `hidden beast` number, since 9 + 3 + 7 + 13 + 8 + 97 + 89 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 805535436 + ... + 805651764.

Almost surely, 2^{93713897894400} is an apocalyptic number.

93713897894400 is a gapful number since it is divisible by the number (90) 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 93713897894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204114579789120).

93713897894400 is an abundant number, since it is smaller than the sum of its proper divisors (314515261683840).

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

93713897894400 is a wasteful number, since it uses less digits than its factorization.

93713897894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116416 (or 116383 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 93713897894400 in words is "ninety-three trillion, seven hundred thirteen billion, eight hundred ninety-seven million, eight hundred ninety-four thousand, four hundred".