12962905560 has 384 divisors, whose sum is σ = 47369836800. Its totient is φ = 3047224320.

The previous prime is 12962905541. The next prime is 12962905573. The reversal of 12962905560 is 6550926921.

It is a happy number.

12962905560 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 90 + 556 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45805179 + ... + 45805461.

It is an arithmetic number, because the mean of its divisors is an integer number (123358950).

Almost surely, 2^12962905560 is an apocalyptic number.

12962905560 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 12962905560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23684918400).

12962905560 is an abundant number, since it is smaller than the sum of its proper divisors (34406931240).

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

12962905560 is a wasteful number, since it uses less digits than its factorization.

12962905560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12962905560 in words is "twelve billion, nine hundred sixty-two million, nine hundred five thousand, five hundred sixty".