13211976960 has 576 divisors, whose sum is σ = 57717327360. Its totient is φ = 2786918400.

The previous prime is 13211976959. The next prime is 13211976961. The reversal of 13211976960 is 6967911231.

It is an interprime number because it is at equal distance from previous prime (13211976959) and next prime (13211976961).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211976961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3142860 + ... + 3147060.

Almost surely, 2^13211976960 is an apocalyptic number.

13211976960 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 13211976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858663680).

13211976960 is an abundant number, since it is smaller than the sum of its proper divisors (44505350400).

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

13211976960 is a wasteful number, since it uses less digits than its factorization.

13211976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 13211976960 in words is "thirteen billion, two hundred eleven million, nine hundred seventy-six thousand, nine hundred sixty".