79166592000 has 352 divisors, whose sum is σ = 292610298240. Its totient is φ = 21110169600.

The previous prime is 79166591969. The next prime is 79166592031. The reversal of 79166592000 is 29566197.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (79166591969) and next prime (79166592031).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3444547 + ... + 3467453.

Almost surely, 2^79166592000 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 79166592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146305149120).

79166592000 is an abundant number, since it is smaller than the sum of its proper divisors (213443706240).

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

79166592000 is a wasteful number, since it uses less digits than its factorization.

79166592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22951 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 79166592000 in words is "seventy-nine billion, one hundred sixty-six million, five hundred ninety-two thousand".