12580496801136 has 320 divisors, whose sum is σ = 40701823488000. Its totient is φ = 3685884825600.

The previous prime is 12580496801071. The next prime is 12580496801141. The reversal of 12580496801136 is 63110869408521.

It is a happy number.

12580496801136 is a `hidden beast` number, since 1 + 2 + 580 + 49 + 6 + 8 + 0 + 1 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 161562340 + ... + 161640188.

It is an arithmetic number, because the mean of its divisors is an integer number (127193198400).

Almost surely, 2^{12580496801136} is an apocalyptic number.

12580496801136 is a gapful number since it is divisible by the number (16) 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 12580496801136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350911744000).

12580496801136 is an abundant number, since it is smaller than the sum of its proper divisors (28121326686864).

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

12580496801136 is a wasteful number, since it uses less digits than its factorization.

12580496801136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79005 (or 78993 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12580496801136 in words is "twelve trillion, five hundred eighty billion, four hundred ninety-six million, eight hundred one thousand, one hundred thirty-six".