79551590400 has 936 divisors, whose sum is σ = 310555539840. Its totient is φ = 20145438720.

The previous prime is 79551590399. The next prime is 79551590407. The reversal of 79551590400 is 409515597.

79551590400 is a `hidden beast` number, since 7 + 9 + 5 + 51 + 590 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79551590407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572313531 + ... + 572313669.

Almost surely, 2^79551590400 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 79551590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155277769920).

79551590400 is an abundant number, since it is smaller than the sum of its proper divisors (231003949440).

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

79551590400 is a wasteful number, since it uses less digits than its factorization.

79551590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 79551590400 in words is "seventy-nine billion, five hundred fifty-one million, five hundred ninety thousand, four hundred".