12894637916160 has 3024 divisors, whose sum is σ = 63001100393280. Its totient is φ = 2473297182720.

The previous prime is 12894637916143. The next prime is 12894637916201. The reversal of 12894637916160 is 6161973649821.

12894637916160 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 4 + 6 + 3 + 7 + 9 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×12894637916160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 991895224314 + ... + 991895224326.

It is an arithmetic number, because the mean of its divisors is an integer number (20833697220).

Almost surely, 2^{12894637916160} is an apocalyptic number.

12894637916160 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 12894637916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31500550196640).

12894637916160 is an abundant number, since it is smaller than the sum of its proper divisors (50106462477120).

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

12894637916160 is an frugal number, since it uses more digits than its factorization.

12894637916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 12894637916160 in words is "twelve trillion, eight hundred ninety-four billion, six hundred thirty-seven million, nine hundred sixteen thousand, one hundred sixty".