79160256000 has 960 divisors, whose sum is σ = 337586071680. Its totient is φ = 17444044800.

The previous prime is 79160255989. The next prime is 79160256083. The reversal of 79160256000 is 65206197.

79160256000 is a `hidden beast` number, since 7 + 91 + 6 + 0 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×79160256000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116927662 + ... + 116928338.

It is an arithmetic number, because the mean of its divisors is an integer number (351652158).

Almost surely, 2^79160256000 is an apocalyptic number.

79160256000 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 79160256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168793035840).

79160256000 is an abundant number, since it is smaller than the sum of its proper divisors (258425815680).

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

79160256000 is a wasteful number, since it uses less digits than its factorization.

79160256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 79160256000 in words is "seventy-nine billion, one hundred sixty million, two hundred fifty-six thousand".