79199265600 has 1008 divisors, whose sum is σ = 364801790080. Its totient is φ = 15825715200.

The previous prime is 79199265599. The next prime is 79199265601. The reversal of 79199265600 is 656299197.

79199265600 is a `hidden beast` number, since 7 + 9 + 1 + 9 + 9 + 26 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (79199265599) and next prime (79199265601).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79199265601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24896010 + ... + 24899190.

Almost surely, 2^79199265600 is an apocalyptic number.

79199265600 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 79199265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182400895040).

79199265600 is an abundant number, since it is smaller than the sum of its proper divisors (285602524480).

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

79199265600 is a wasteful number, since it uses less digits than its factorization.

79199265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 79199265600 in words is "seventy-nine billion, one hundred ninety-nine million, two hundred sixty-five thousand, six hundred".