79949659200 has 1008 divisors, whose sum is σ = 300959398080. Its totient is φ = 18533007360.

The previous prime is 79949659147. The next prime is 79949659247. The reversal of 79949659200 is 295694997.

It is a super-2 number, since 2×79949659200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1859294379 + ... + 1859294421.

Almost surely, 2^79949659200 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 79949659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150479699040).

79949659200 is an abundant number, since it is smaller than the sum of its proper divisors (221009738880).

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

79949659200 is a wasteful number, since it uses less digits than its factorization.

79949659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 79949659200 in words is "seventy-nine billion, nine hundred forty-nine million, six hundred fifty-nine thousand, two hundred".