13149872640000 has 3120 divisors, whose sum is σ = 56155902359040. Its totient is φ = 3025797120000.

The previous prime is 13149872639999. The next prime is 13149872640011. The reversal of 13149872640000 is 4627894131.

13149872640000 is a `hidden beast` number, since 1 + 3 + 149 + 87 + 26 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 424189439985 + ... + 424189440015.

Almost surely, 2^{13149872640000} is an apocalyptic number.

13149872640000 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 13149872640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28077951179520).

13149872640000 is an abundant number, since it is smaller than the sum of its proper divisors (43006029719040).

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

13149872640000 is an equidigital number, since it uses as much as digits as its factorization.

13149872640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13149872640000 in words is "thirteen trillion, one hundred forty-nine billion, eight hundred seventy-two million, six hundred forty thousand".