79561797719040 has 4752 divisors, whose sum is σ = 372281230863360. Its totient is φ = 15364254597120.

The previous prime is 79561797719011. The next prime is 79561797719119. The reversal of 79561797719040 is 4091779716597.

79561797719040 is a `hidden beast` number, since 7 + 9 + 561 + 7 + 9 + 7 + 7 + 19 + 0 + 40 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 79561797719040.

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 893952783316 + ... + 893952783404.

Almost surely, 2^{79561797719040} is an apocalyptic number.

79561797719040 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 79561797719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186140615431680).

79561797719040 is an abundant number, since it is smaller than the sum of its proper divisors (292719433144320).

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

79561797719040 is a wasteful number, since it uses less digits than its factorization.

79561797719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 210039480, while the sum is 72.

The spelling of 79561797719040 in words is "seventy-nine trillion, five hundred sixty-one billion, seven hundred ninety-seven million, seven hundred nineteen thousand, forty".