12653137476000 has 2304 divisors, whose sum is σ = 57048568012800. Its totient is φ = 2589345792000.

The previous prime is 12653137475941. The next prime is 12653137476121. The reversal of 12653137476000 is 67473135621.

12653137476000 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 1 + 37 + 4 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9801035355 + ... + 9801036645.

It is an arithmetic number, because the mean of its divisors is an integer number (24760663200).

Almost surely, 2^{12653137476000} is an apocalyptic number.

12653137476000 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 12653137476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524284006400).

12653137476000 is an abundant number, since it is smaller than the sum of its proper divisors (44395430536800).

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

12653137476000 is a wasteful number, since it uses less digits than its factorization.

12653137476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 12653137476000 in words is "twelve trillion, six hundred fifty-three billion, one hundred thirty-seven million, four hundred seventy-six thousand".