79181496345600 has 3168 divisors, whose sum is σ = 334567559639040. Its totient is φ = 18381717504000.

The previous prime is 79181496345593. The next prime is 79181496345629. The reversal of 79181496345600 is 654369418197.

79181496345600 is a `hidden beast` number, since 7 + 9 + 1 + 8 + 1 + 4 + 9 + 63 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 345770726286 + ... + 345770726514.

Almost surely, 2^{79181496345600} 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 79181496345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167283779819520).

79181496345600 is an abundant number, since it is smaller than the sum of its proper divisors (255386063293440).

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

79181496345600 is a wasteful number, since it uses less digits than its factorization.

79181496345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 79181496345600 in words is "seventy-nine trillion, one hundred eighty-one billion, four hundred ninety-six million, three hundred forty-five thousand, six hundred".