93690020102400 has 1296 divisors, whose sum is σ = 363413424774400. Its totient is φ = 22950691061760.

The previous prime is 93690020102369. The next prime is 93690020102423. The reversal of 93690020102400 is 420102009639.

93690020102400 is a `hidden beast` number, since 93 + 69 + 0 + 0 + 2 + 0 + 102 + 400 = 666.

93690020102400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×93690020102400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6541221639 + ... + 6541235961.

Almost surely, 2^{93690020102400} is an apocalyptic number.

93690020102400 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 93690020102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181706712387200).

93690020102400 is an abundant number, since it is smaller than the sum of its proper divisors (269723404672000).

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

93690020102400 is a wasteful number, since it uses less digits than its factorization.

93690020102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14556 (or 14534 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 93690020102400 in words is "ninety-three trillion, six hundred ninety billion, twenty million, one hundred two thousand, four hundred".