12976290512640 has 3456 divisors, whose sum is σ = 61632545587200. Its totient is φ = 2586984873984.

The previous prime is 12976290512629. The next prime is 12976290512651. The reversal of 12976290512640 is 4621509267921.

It is a happy number.

12976290512640 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 62 + 9 + 0 + 512 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12976290512629) and next prime (12976290512651).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33880653889 + ... + 33880654271.

It is an arithmetic number, because the mean of its divisors is an integer number (17833491200).

Almost surely, 2^{12976290512640} is an apocalyptic number.

12976290512640 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 12976290512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30816272793600).

12976290512640 is an abundant number, since it is smaller than the sum of its proper divisors (48656255074560).

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

12976290512640 is an equidigital number, since it uses as much as digits as its factorization.

12976290512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12976290512640 in words is "twelve trillion, nine hundred seventy-six billion, two hundred ninety million, five hundred twelve thousand, six hundred forty".