79188345600 has 864 divisors, whose sum is σ = 327359714304. Its totient is φ = 16411852800.

The previous prime is 79188345569. The next prime is 79188345617. The reversal of 79188345600 is 654388197.

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, 106578829 + ... + 106579571.

Almost surely, 2^79188345600 is an apocalyptic number.

79188345600 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 79188345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163679857152).

79188345600 is an abundant number, since it is smaller than the sum of its proper divisors (248171368704).

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

79188345600 is a wasteful number, since it uses less digits than its factorization.

79188345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 79188345600 in words is "seventy-nine billion, one hundred eighty-eight million, three hundred forty-five thousand, six hundred".