13117658400 has 1080 divisors, whose sum is σ = 60344887680. Its totient is φ = 2714342400.

The previous prime is 13117658383. The next prime is 13117658413. The reversal of 13117658400 is 485671131.

13117658400 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 76 + 584 + 0 + 0 = 666.

13117658400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 54885481 + ... + 54885719.

It is an arithmetic number, because the mean of its divisors is an integer number (55874896).

Almost surely, 2^13117658400 is an apocalyptic number.

13117658400 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 13117658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30172443840).

13117658400 is an abundant number, since it is smaller than the sum of its proper divisors (47227229280).

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

13117658400 is a wasteful number, since it uses less digits than its factorization.

13117658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13117658400 in words is "thirteen billion, one hundred seventeen million, six hundred fifty-eight thousand, four hundred".