79915118400 has 1008 divisors, whose sum is σ = 322451764544. Its totient is φ = 19349176320.

The previous prime is 79915118363. The next prime is 79915118411. The reversal of 79915118400 is 481151997.

It is a happy number.

79915118400 is a `hidden beast` number, since 7 + 9 + 91 + 511 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×79915118400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 490276719 + ... + 490276881.

Almost surely, 2^79915118400 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 79915118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161225882272).

79915118400 is an abundant number, since it is smaller than the sum of its proper divisors (242536646144).

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

79915118400 is a wasteful number, since it uses less digits than its factorization.

79915118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 79915118400 in words is "seventy-nine billion, nine hundred fifteen million, one hundred eighteen thousand, four hundred".