79982617572 has 144 divisors (see below), whose sum is σ = 241418923200. Its totient is φ = 22005907200.

The previous prime is 79982617529. The next prime is 79982617661. The reversal of 79982617572 is 27571628997.

79982617572 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 2 + 617 + 5 + 7 + 2 = 666.

It is a super-2 number, since 2×79982617572² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186679 + ... + 441377.

It is an arithmetic number, because the mean of its divisors is an integer number (1676520300).

Almost surely, 2^79982617572 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 79982617572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120709461600).

79982617572 is an abundant number, since it is smaller than the sum of its proper divisors (161436305628).

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

79982617572 is a wasteful number, since it uses less digits than its factorization.

79982617572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254794 (or 254789 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 79982617572 in words is "seventy-nine billion, nine hundred eighty-two million, six hundred seventeen thousand, five hundred seventy-two".