79873586654400 has 2520 divisors, whose sum is σ = 375799943201760. Its totient is φ = 16282769817600.

The previous prime is 79873586654387. The next prime is 79873586654429. The reversal of 79873586654400 is 445668537897.

79873586654400 is a `hidden beast` number, since 7 + 9 + 8 + 73 + 5 + 8 + 6 + 6 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5817866736 + ... + 5817880464.

It is an arithmetic number, because the mean of its divisors is an integer number (149126961588).

Almost surely, 2^{79873586654400} is an apocalyptic number.

79873586654400 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 79873586654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187899971600880).

79873586654400 is an abundant number, since it is smaller than the sum of its proper divisors (295926356547360).

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

79873586654400 is a wasteful number, since it uses less digits than its factorization.

79873586654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13845 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 79873586654400 in words is "seventy-nine trillion, eight hundred seventy-three billion, five hundred eighty-six million, six hundred fifty-four thousand, four hundred".