79653047500800 has 2160 divisors, whose sum is σ = 317172729646080. Its totient is φ = 19691250647040.

The previous prime is 79653047500799. The next prime is 79653047500813. The reversal of 79653047500800 is 800574035697.

79653047500800 is a `hidden beast` number, since 7 + 9 + 6 + 53 + 0 + 4 + 7 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×79653047500800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 573043507131 + ... + 573043507269.

It is an arithmetic number, because the mean of its divisors is an integer number (146839226688).

Almost surely, 2^{79653047500800} 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 79653047500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158586364823040).

79653047500800 is an abundant number, since it is smaller than the sum of its proper divisors (237519682145280).

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

79653047500800 is a wasteful number, since it uses less digits than its factorization.

79653047500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 79653047500800 in words is "seventy-nine trillion, six hundred fifty-three billion, forty-seven million, five hundred thousand, eight hundred".