79101158400000 has 3024 divisors, whose sum is σ = 331227701007840. Its totient is φ = 18031411200000.

The previous prime is 79101158399987. The next prime is 79101158400001. The reversal of 79101158400000 is 485110197.

79101158400000 is a `hidden beast` number, since 79 + 1 + 0 + 1 + 1 + 584 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (79101158400001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1340697599971 + ... + 1340697600029.

It is an arithmetic number, because the mean of its divisors is an integer number (109532969910).

Almost surely, 2^{79101158400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79101158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165613850503920).

79101158400000 is an abundant number, since it is smaller than the sum of its proper divisors (252126542607840).

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

79101158400000 is an equidigital number, since it uses as much as digits as its factorization.

79101158400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 79101158400000 in words is "seventy-nine trillion, one hundred one billion, one hundred fifty-eight million, four hundred thousand".