12865946681520 has 280 divisors, whose sum is σ = 44864051476752. Its totient is φ = 3429803865600.

The previous prime is 12865946681491. The next prime is 12865946681537. The reversal of 12865946681520 is 2518664956821.

12865946681520 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 5 + 9 + 46 + 68 + 1 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 187814475 + ... + 187882965.

Almost surely, 2^{12865946681520} is an apocalyptic number.

12865946681520 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 12865946681520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432025738376).

12865946681520 is an abundant number, since it is smaller than the sum of its proper divisors (31998104795232).

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

12865946681520 is an equidigital number, since it uses as much as digits as its factorization.

12865946681520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71743 (or 71722 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 12865946681520 in words is "twelve trillion, eight hundred sixty-five billion, nine hundred forty-six million, six hundred eighty-one thousand, five hundred twenty".