93818120400 has 720 divisors, whose sum is σ = 354365444160. Its totient is φ = 23804928000.

The previous prime is 93818120369. The next prime is 93818120437. The reversal of 93818120400 is 402181839.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233960200 + ... + 233960600.

It is an arithmetic number, because the mean of its divisors is an integer number (492174228).

Almost surely, 2^93818120400 is an apocalyptic number.

93818120400 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 93818120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177182722080).

93818120400 is an abundant number, since it is smaller than the sum of its proper divisors (260547323760).

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

93818120400 is a wasteful number, since it uses less digits than its factorization.

93818120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 93818120400 in words is "ninety-three billion, eight hundred eighteen million, one hundred twenty thousand, four hundred".