13263711068160 has 3136 divisors, whose sum is σ = 59409864253440. Its totient is φ = 2774815211520.

The previous prime is 13263711068059. The next prime is 13263711068173. The reversal of 13263711068160 is 6186011736231.

13263711068160 is a `hidden beast` number, since 1 + 3 + 2 + 637 + 1 + 1 + 0 + 6 + 8 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 149030461396 + ... + 149030461484.

Almost surely, 2^{13263711068160} is an apocalyptic number.

13263711068160 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 13263711068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29704932126720).

13263711068160 is an abundant number, since it is smaller than the sum of its proper divisors (46146153185280).

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

13263711068160 is an frugal number, since it uses more digits than its factorization.

13263711068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13263711068160 in words is "thirteen trillion, two hundred sixty-three billion, seven hundred eleven million, sixty-eight thousand, one hundred sixty".