12965628480 has 448 divisors, whose sum is σ = 49095720960. Its totient is φ = 2836684800.

The previous prime is 12965628469. The next prime is 12965628521. The reversal of 12965628480 is 8482656921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12965628480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22706595 + ... + 22707165.

Almost surely, 2^12965628480 is an apocalyptic number.

12965628480 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 12965628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24547860480).

12965628480 is an abundant number, since it is smaller than the sum of its proper divisors (36130092480).

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

12965628480 is a wasteful number, since it uses less digits than its factorization.

12965628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 12965628480 in words is "twelve billion, nine hundred sixty-five million, six hundred twenty-eight thousand, four hundred eighty".