79695986198400 has 2592 divisors, whose sum is σ = 344663680659480. Its totient is φ = 17286760857600.

The previous prime is 79695986198377. The next prime is 79695986198401. The reversal of 79695986198400 is 489168959697.

79695986198400 is a `hidden beast` number, since 7 + 9 + 6 + 9 + 598 + 6 + 19 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×79695986198400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 79695986198400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79695986198401) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 960192604759 + ... + 960192604841.

Almost surely, 2^{79695986198400} 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 79695986198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172331840329740).

79695986198400 is an abundant number, since it is smaller than the sum of its proper divisors (264967694461080).

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

79695986198400 is a wasteful number, since it uses less digits than its factorization.

79695986198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 79695986198400 in words is "seventy-nine trillion, six hundred ninety-five billion, nine hundred eighty-six million, one hundred ninety-eight thousand, four hundred".