79966617292800 has 3744 divisors, whose sum is σ = 363320404894720. Its totient is φ = 17027275161600.

The previous prime is 79966617292789. The next prime is 79966617292813. The reversal of 79966617292800 is 829271666997.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241590988635 + ... + 241590988965.

Almost surely, 2^{79966617292800} is an apocalyptic number.

79966617292800 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 79966617292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181660202447360).

79966617292800 is an abundant number, since it is smaller than the sum of its proper divisors (283353787601920).

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

79966617292800 is a wasteful number, since it uses less digits than its factorization.

79966617292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 79966617292800 in words is "seventy-nine trillion, nine hundred sixty-six billion, six hundred seventeen million, two hundred ninety-two thousand, eight hundred".