12916892160 has 240 divisors, whose sum is σ = 45177447744. Its totient is φ = 3410436096.

The previous prime is 12916892143. The next prime is 12916892167. The reversal of 12916892160 is 6129861921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12916892160² (a number of 21 digits) contains 22 as substring.

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 (12916892167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2370399 + ... + 2375841.

Almost surely, 2^12916892160 is an apocalyptic number.

12916892160 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 12916892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588723872).

12916892160 is an abundant number, since it is smaller than the sum of its proper divisors (32260555584).

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

12916892160 is a wasteful number, since it uses less digits than its factorization.

12916892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12916892160 in words is "twelve billion, nine hundred sixteen million, eight hundred ninety-two thousand, one hundred sixty".