12951361528560 has 960 divisors, whose sum is σ = 55310315913216. Its totient is φ = 2641998643200.

The previous prime is 12951361528487. The next prime is 12951361528577. The reversal of 12951361528560 is 6582516315921.

12951361528560 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 1 + 3 + 61 + 528 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12951361528497 and 12951361528506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2890281520 + ... + 2890286000.

Almost surely, 2^{12951361528560} is an apocalyptic number.

12951361528560 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 12951361528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27655157956608).

12951361528560 is an abundant number, since it is smaller than the sum of its proper divisors (42358954384656).

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

12951361528560 is a wasteful number, since it uses less digits than its factorization.

12951361528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 12951361528560 in words is "twelve trillion, nine hundred fifty-one billion, three hundred sixty-one million, five hundred twenty-eight thousand, five hundred sixty".