79779812112000 has 3584 divisors, whose sum is σ = 399355053027840. Its totient is φ = 15300182016000.

The previous prime is 79779812111977. The next prime is 79779812112041. The reversal of 79779812112000 is 21121897797.

79779812112000 is a `hidden beast` number, since 79 + 77 + 98 + 1 + 211 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11675660584 + ... + 11675667416.

It is an arithmetic number, because the mean of its divisors is an integer number (111427191135).

Almost surely, 2^{79779812112000} is an apocalyptic number.

79779812112000 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 79779812112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199677526513920).

79779812112000 is an abundant number, since it is smaller than the sum of its proper divisors (319575240915840).

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

79779812112000 is a wasteful number, since it uses less digits than its factorization.

79779812112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 79779812112000 in words is "seventy-nine trillion, seven hundred seventy-nine billion, eight hundred twelve million, one hundred twelve thousand".