79503768352800 has 1296 divisors, whose sum is σ = 323315273998080. Its totient is φ = 18345761280000.

The previous prime is 79503768352793. The next prime is 79503768352823. The reversal of 79503768352800 is 825386730597.

79503768352800 is a `hidden beast` number, since 7 + 9 + 503 + 76 + 8 + 3 + 52 + 8 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 1647415071 + ... + 1647463329.

Almost surely, 2^{79503768352800} 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 79503768352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161657636999040).

79503768352800 is an abundant number, since it is smaller than the sum of its proper divisors (243811505645280).

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

79503768352800 is a wasteful number, since it uses less digits than its factorization.

79503768352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48399 (or 48372 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 79503768352800 in words is "seventy-nine trillion, five hundred three billion, seven hundred sixty-eight million, three hundred fifty-two thousand, eight hundred".