12837645025380 has 864 divisors, whose sum is σ = 47200591226880. Its totient is φ = 2814185687040.

The previous prime is 12837645025379. The next prime is 12837645025411. The reversal of 12837645025380 is 8352054673821.

12837645025380 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 7 + 6 + 4 + 502 + 53 + 80 = 666.

12837645025380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12837645025380³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5267805522 + ... + 5267807958.

It is an arithmetic number, because the mean of its divisors is an integer number (54630313920).

Almost surely, 2^{12837645025380} is an apocalyptic number.

12837645025380 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 12837645025380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23600295613440).

12837645025380 is an abundant number, since it is smaller than the sum of its proper divisors (34362946201500).

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

12837645025380 is a wasteful number, since it uses less digits than its factorization.

12837645025380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12837645025380 in words is "twelve trillion, eight hundred thirty-seven billion, six hundred forty-five million, twenty-five thousand, three hundred eighty".