13117628160 has 1152 divisors, whose sum is σ = 59228252160. Its totient is φ = 2675441664.

The previous prime is 13117628149. The next prime is 13117628189. The reversal of 13117628160 is 6182671131.

13117628160 is a `hidden beast` number, since 1 + 3 + 1 + 17 + 628 + 16 + 0 = 666.

13117628160 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 (1152).

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 135233232 + ... + 135233328.

Almost surely, 2^13117628160 is an apocalyptic number.

13117628160 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 13117628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29614126080).

13117628160 is an abundant number, since it is smaller than the sum of its proper divisors (46110624000).

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

13117628160 is a wasteful number, since it uses less digits than its factorization.

13117628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13117628160 in words is "thirteen billion, one hundred seventeen million, six hundred twenty-eight thousand, one hundred sixty".