79105550400 has 672 divisors, whose sum is σ = 300698611200. Its totient is φ = 20205158400.

The previous prime is 79105550393. The next prime is 79105550417. The reversal of 79105550400 is 405550197.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291902265 + ... + 291902535.

Almost surely, 2^79105550400 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 79105550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150349305600).

79105550400 is an abundant number, since it is smaller than the sum of its proper divisors (221593060800).

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

79105550400 is a wasteful number, since it uses less digits than its factorization.

79105550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 79105550400 in words is "seventy-nine billion, one hundred five million, five hundred fifty thousand, four hundred".