79550617497120 has 2304 divisors, whose sum is σ = 371150366146560. Its totient is φ = 15443476070400.

The previous prime is 79550617497073. The next prime is 79550617497163. The reversal of 79550617497120 is 2179471605597.

79550617497120 is a `hidden beast` number, since 7 + 9 + 5 + 5 + 0 + 6 + 17 + 497 + 120 = 666.

79550617497120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8672252854 + ... + 8672262026.

It is an arithmetic number, because the mean of its divisors is an integer number (161089568640).

Almost surely, 2^{79550617497120} is an apocalyptic number.

79550617497120 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 79550617497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185575183073280).

79550617497120 is an abundant number, since it is smaller than the sum of its proper divisors (291599748649440).

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

79550617497120 is a wasteful number, since it uses less digits than its factorization.

79550617497120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 79550617497120 in words is "seventy-nine trillion, five hundred fifty billion, six hundred seventeen million, four hundred ninety-seven thousand, one hundred twenty".