12976282560 has 448 divisors, whose sum is σ = 45717073920. Its totient is φ = 3105423360.

The previous prime is 12976282549. The next prime is 12976282601. The reversal of 12976282560 is 6528267921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 29968104 + ... + 29968536.

It is an arithmetic number, because the mean of its divisors is an integer number (102047040).

Almost surely, 2^12976282560 is an apocalyptic number.

12976282560 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 12976282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858536960).

12976282560 is an abundant number, since it is smaller than the sum of its proper divisors (32740791360).

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

12976282560 is a wasteful number, since it uses less digits than its factorization.

12976282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 12976282560 in words is "twelve billion, nine hundred seventy-six million, two hundred eighty-two thousand, five hundred sixty".