79181363800 has 576 divisors, whose sum is σ = 250020604800. Its totient is φ = 22992076800.

The previous prime is 79181363791. The next prime is 79181363861. The reversal of 79181363800 is 836318197.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137229112 + ... + 137229688.

It is an arithmetic number, because the mean of its divisors is an integer number (434063550).

Almost surely, 2^79181363800 is an apocalyptic number.

79181363800 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 79181363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125010302400).

79181363800 is an abundant number, since it is smaller than the sum of its proper divisors (170839241000).

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

79181363800 is a wasteful number, since it uses less digits than its factorization.

79181363800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 79181363800 in words is "seventy-nine billion, one hundred eighty-one million, three hundred sixty-three thousand, eight hundred".