79951872000 has 1440 divisors, whose sum is σ = 359206009344. Its totient is φ = 15335424000.

The previous prime is 79951871969. The next prime is 79951872043. The reversal of 79951872000 is 27815997.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6150143994 + ... + 6150144006.

Almost surely, 2^79951872000 is an apocalyptic number.

79951872000 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 79951872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179603004672).

79951872000 is an abundant number, since it is smaller than the sum of its proper divisors (279254137344).

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

79951872000 is a wasteful number, since it uses less digits than its factorization.

79951872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 79951872000 in words is "seventy-nine billion, nine hundred fifty-one million, eight hundred seventy-two thousand".