79529793408000 has 1408 divisors, whose sum is σ = 323294373642240. Its totient is φ = 19159533158400.

The previous prime is 79529793407983. The next prime is 79529793408071. The reversal of 79529793408000 is 80439792597.

79529793408000 is a `hidden beast` number, since 7 + 9 + 52 + 97 + 93 + 408 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2111597169 + ... + 2111634831.

It is an arithmetic number, because the mean of its divisors is an integer number (229612481280).

Almost surely, 2^{79529793408000} 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 79529793408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161647186821120).

79529793408000 is an abundant number, since it is smaller than the sum of its proper divisors (243764580234240).

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

79529793408000 is a wasteful number, since it uses less digits than its factorization.

79529793408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37767 (or 37733 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 79529793408000 in words is "seventy-nine trillion, five hundred twenty-nine billion, seven hundred ninety-three million, four hundred eight thousand".