12894261557760 has 640 divisors, whose sum is σ = 50908163454720. Its totient is φ = 3066893107200.

The previous prime is 12894261557759. The next prime is 12894261557791. The reversal of 12894261557760 is 6775516249821.

It is a happy number.

12894261557760 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 4 + 2 + 6 + 1 + 557 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12894261557760² (a number of 27 digits) contains 22 as substring.

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, 40136970 + ... + 40456950.

It is an arithmetic number, because the mean of its divisors is an integer number (79544005398).

Almost surely, 2^{12894261557760} is an apocalyptic number.

12894261557760 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 12894261557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454081727360).

12894261557760 is an abundant number, since it is smaller than the sum of its proper divisors (38013901896960).

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

12894261557760 is a wasteful number, since it uses less digits than its factorization.

12894261557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320077 (or 320055 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 12894261557760 in words is "twelve trillion, eight hundred ninety-four billion, two hundred sixty-one million, five hundred fifty-seven thousand, seven hundred sixty".