13132968960 has 176 divisors, whose sum is σ = 43361551872. Its totient is φ = 3389030400.

The previous prime is 13132968931. The next prime is 13132968983. The reversal of 13132968960 is 6986923131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462370 + ... + 489950.

Almost surely, 2^13132968960 is an apocalyptic number.

13132968960 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 13132968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680775936).

13132968960 is an abundant number, since it is smaller than the sum of its proper divisors (30228582912).

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

13132968960 is a wasteful number, since it uses less digits than its factorization.

13132968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27640 (or 27622 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 13132968960 in words is "thirteen billion, one hundred thirty-two million, nine hundred sixty-eight thousand, nine hundred sixty".