79611059049984 has 1200 divisors, whose sum is σ = 302176871116560. Its totient is φ = 20634622525440.

The previous prime is 79611059049983. The next prime is 79611059049989. The reversal of 79611059049984 is 48994095011697.

79611059049984 is a `hidden beast` number, since 7 + 9 + 6 + 1 + 1 + 0 + 59 + 0 + 499 + 84 = 666.

It is a super-2 number, since 2×79611059049984² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79611059049983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11377881174 + ... + 11377888170.

Almost surely, 2^{79611059049984} 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 79611059049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151088435558280).

79611059049984 is an abundant number, since it is smaller than the sum of its proper divisors (222565812066576).

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

79611059049984 is a wasteful number, since it uses less digits than its factorization.

79611059049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 79611059049984 in words is "seventy-nine trillion, six hundred eleven billion, fifty-nine million, forty-nine thousand, nine hundred eighty-four".