93225686400 has 1536 divisors, whose sum is σ = 433107993600. Its totient is φ = 19259596800.

The previous prime is 93225686377. The next prime is 93225686413. The reversal of 93225686400 is 468652239.

93225686400 is a `hidden beast` number, since 9 + 3 + 22 + 568 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×93225686400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538876714 + ... + 538876886.

It is an arithmetic number, because the mean of its divisors is an integer number (281971350).

Almost surely, 2^93225686400 is an apocalyptic number.

93225686400 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 93225686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216553996800).

93225686400 is an abundant number, since it is smaller than the sum of its proper divisors (339882307200).

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

93225686400 is a wasteful number, since it uses less digits than its factorization.

93225686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 93225686400 in words is "ninety-three billion, two hundred twenty-five million, six hundred eighty-six thousand, four hundred".