93552160790400 has 1152 divisors, whose sum is σ = 345592203540480. Its totient is φ = 22210007040000.

The previous prime is 93552160790371. The next prime is 93552160790401. The reversal of 93552160790400 is 409706125539.

93552160790400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93552160790401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15641555410 + ... + 15641561390.

It is an arithmetic number, because the mean of its divisors is an integer number (299993232240).

Almost surely, 2^{93552160790400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93552160790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172796101770240).

93552160790400 is an abundant number, since it is smaller than the sum of its proper divisors (252040042750080).

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

93552160790400 is a wasteful number, since it uses less digits than its factorization.

93552160790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 93552160790400 in words is "ninety-three trillion, five hundred fifty-two billion, one hundred sixty million, seven hundred ninety thousand, four hundred".