79596288307200 has 1248 divisors, whose sum is σ = 315532228930560. Its totient is φ = 17317704499200.

The previous prime is 79596288307163. The next prime is 79596288307201. The reversal of 79596288307200 is 270388269597.

79596288307200 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×79596288307200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79596288307201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4427664612 + ... + 4427682588.

Almost surely, 2^{79596288307200} is an apocalyptic number.

79596288307200 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 79596288307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157766114465280).

79596288307200 is an abundant number, since it is smaller than the sum of its proper divisors (235935940623360).

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

79596288307200 is a wasteful number, since it uses less digits than its factorization.

79596288307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 79596288307200 in words is "seventy-nine trillion, five hundred ninety-six billion, two hundred eighty-eight million, three hundred seven thousand, two hundred".