13155868964160 has 560 divisors, whose sum is σ = 51348533732496. Its totient is φ = 3177262153728.

The previous prime is 13155868964143. The next prime is 13155868964221. The reversal of 13155868964160 is 6146986855131.

13155868964160 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 586 + 8 + 9 + 6 + 41 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 265241480256 + 12890627483904 = 515016^2 + 3590352^2 .

It is a super-2 number, since 2×13155868964160² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17490552 + ... + 18227208.

Almost surely, 2^{13155868964160} is an apocalyptic number.

13155868964160 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 13155868964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674266866248).

13155868964160 is an abundant number, since it is smaller than the sum of its proper divisors (38192664768336).

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

13155868964160 is a wasteful number, since it uses less digits than its factorization.

13155868964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736752 (or 736733 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 13155868964160 in words is "thirteen trillion, one hundred fifty-five billion, eight hundred sixty-eight million, nine hundred sixty-four thousand, one hundred sixty".