79892665459200 has 2400 divisors, whose sum is σ = 342180623359872. Its totient is φ = 18218483712000.

The previous prime is 79892665459169. The next prime is 79892665459283. The reversal of 79892665459200 is 295456629897.

79892665459200 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 26 + 6 + 5 + 4 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16000931904 + ... + 16000936896.

Almost surely, 2^{79892665459200} 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 79892665459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171090311679936).

79892665459200 is an abundant number, since it is smaller than the sum of its proper divisors (262287957900672).

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

79892665459200 is a wasteful number, since it uses less digits than its factorization.

79892665459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 79892665459200 in words is "seventy-nine trillion, eight hundred ninety-two billion, six hundred sixty-five million, four hundred fifty-nine thousand, two hundred".