79989477120 has 1728 divisors, whose sum is σ = 366412999680. Its totient is φ = 15670444032.

The previous prime is 79989477097. The next prime is 79989477151. The reversal of 79989477120 is 2177498997.

79989477120 is a `hidden beast` number, since 79 + 9 + 89 + 477 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 963728599 + ... + 963728681.

It is an arithmetic number, because the mean of its divisors is an integer number (212044560).

Almost surely, 2^79989477120 is an apocalyptic number.

79989477120 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 79989477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183206499840).

79989477120 is an abundant number, since it is smaller than the sum of its proper divisors (286423522560).

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

79989477120 is a wasteful number, since it uses less digits than its factorization.

79989477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 79989477120 in words is "seventy-nine billion, nine hundred eighty-nine million, four hundred seventy-seven thousand, one hundred twenty".