79573187786400 has 5760 divisors, whose sum is σ = 390969536348160. Its totient is φ = 15265096704000.

The previous prime is 79573187786399. The next prime is 79573187786441. The reversal of 79573187786400 is 468778137597.

79573187786400 is a `hidden beast` number, since 7 + 9 + 5 + 73 + 1 + 8 + 77 + 86 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 959 ways as a sum of consecutive naturals, for example, 607428914335 + ... + 607428914465.

It is an arithmetic number, because the mean of its divisors is an integer number (67876655616).

Almost surely, 2^{79573187786400} is an apocalyptic number.

79573187786400 is a gapful number since it is divisible by the number (70) 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 79573187786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195484768174080).

79573187786400 is an abundant number, since it is smaller than the sum of its proper divisors (311396348561760).

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

79573187786400 is a wasteful number, since it uses less digits than its factorization.

79573187786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 79573187786400 in words is "seventy-nine trillion, five hundred seventy-three billion, one hundred eighty-seven million, seven hundred eighty-six thousand, four hundred".