79506330813000 has 2048 divisors, whose sum is σ = 378089607168000. Its totient is φ = 14957092454400.

The previous prime is 79506330812911. The next prime is 79506330813067. The reversal of 79506330813000 is 31803360597.

79506330813000 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 6 + 330 + 8 + 1 + 300 + 0 = 666.

It is a super-3 number, since 3×79506330813000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 793560909 + ... + 793661091.

It is an arithmetic number, because the mean of its divisors is an integer number (184614066000).

Almost surely, 2^{79506330813000} is an apocalyptic number.

79506330813000 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 79506330813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189044803584000).

79506330813000 is an abundant number, since it is smaller than the sum of its proper divisors (298583276355000).

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

79506330813000 is a wasteful number, since it uses less digits than its factorization.

79506330813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100269 (or 100249 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 79506330813000 in words is "seventy-nine trillion, five hundred six billion, three hundred thirty million, eight hundred thirteen thousand".