12545731992960 has 1536 divisors, whose sum is σ = 50466040934400. Its totient is φ = 2959611789312.

The previous prime is 12545731992949. The next prime is 12545731992971. The reversal of 12545731992960 is 6929913754521.

12545731992960 is a `hidden beast` number, since 1 + 2 + 5 + 457 + 3 + 1 + 9 + 92 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12545731992949) and next prime (12545731992971).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6881914609 + ... + 6881916431.

It is an arithmetic number, because the mean of its divisors is an integer number (32855495400).

Almost surely, 2^{12545731992960} is an apocalyptic number.

12545731992960 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 12545731992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233020467200).

12545731992960 is an abundant number, since it is smaller than the sum of its proper divisors (37920308941440).

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

12545731992960 is a wasteful number, since it uses less digits than its factorization.

12545731992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 12545731992960 in words is "twelve trillion, five hundred forty-five billion, seven hundred thirty-one million, nine hundred ninety-two thousand, nine hundred sixty".