79270091899200 has 1344 divisors, whose sum is σ = 304018541568000. Its totient is φ = 20064844800000.

The previous prime is 79270091899153. The next prime is 79270091899217. The reversal of 79270091899200 is 299819007297.

79270091899200 is a `hidden beast` number, since 79 + 270 + 0 + 9 + 1 + 8 + 99 + 200 = 666.

It is a super-2 number, since 2×79270091899200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24841769605 + ... + 24841772795.

It is an arithmetic number, because the mean of its divisors is an integer number (226204272000).

Almost surely, 2^{79270091899200} 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 79270091899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152009270784000).

79270091899200 is an abundant number, since it is smaller than the sum of its proper divisors (224748449668800).

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

79270091899200 is a wasteful number, since it uses less digits than its factorization.

79270091899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 79270091899200 in words is "seventy-nine trillion, two hundred seventy billion, ninety-one million, eight hundred ninety-nine thousand, two hundred".