12590465765760 has 1536 divisors, whose sum is σ = 49657660416000. Its totient is φ = 3034556006400.

The previous prime is 12590465765693. The next prime is 12590465765807. The reversal of 12590465765760 is 6756756409521.

It is a happy number.

12590465765760 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 0 + 4 + 6 + 57 + 6 + 576 + 0 = 666.

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, 12211896445 + ... + 12211897475.

It is an arithmetic number, because the mean of its divisors is an integer number (32329206000).

Almost surely, 2^{12590465765760} is an apocalyptic number.

12590465765760 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 12590465765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24828830208000).

12590465765760 is an abundant number, since it is smaller than the sum of its proper divisors (37067194650240).

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

12590465765760 is a wasteful number, since it uses less digits than its factorization.

12590465765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 12590465765760 in words is "twelve trillion, five hundred ninety billion, four hundred sixty-five million, seven hundred sixty-five thousand, seven hundred sixty".