13097779200 has 1080 divisors, whose sum is σ = 57046036320. Its totient is φ = 2831155200.

The previous prime is 13097779193. The next prime is 13097779237. The reversal of 13097779200 is 297779031.

13097779200 is a `hidden beast` number, since 1 + 309 + 77 + 79 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689356791 + ... + 689356809.

It is an arithmetic number, because the mean of its divisors is an integer number (52820404).

Almost surely, 2^13097779200 is an apocalyptic number.

13097779200 is a gapful number since it is divisible by the number (10) 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 13097779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28523018160).

13097779200 is an abundant number, since it is smaller than the sum of its proper divisors (43948257120).

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

13097779200 is a wasteful number, since it uses less digits than its factorization.

13097779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

It can be divided in two parts, 13097 and 779200, that added together give a palindrome (792297).

The spelling of 13097779200 in words is "thirteen billion, ninety-seven million, seven hundred seventy-nine thousand, two hundred".