13127374804752 has 240 divisors, whose sum is σ = 41653626705600. Its totient is φ = 3825974891520.

The previous prime is 13127374804729. The next prime is 13127374804783. The reversal of 13127374804752 is 25740847372131.

13127374804752 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 73 + 7 + 480 + 47 + 52 = 666.

It is a super-2 number, since 2×13127374804752² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244289727 + ... + 244343457.

It is an arithmetic number, because the mean of its divisors is an integer number (173556777940).

Almost surely, 2^{13127374804752} is an apocalyptic number.

13127374804752 is a gapful number since it is divisible by the number (12) 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 13127374804752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826813352800).

13127374804752 is an abundant number, since it is smaller than the sum of its proper divisors (28526251900848).

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

13127374804752 is a wasteful number, since it uses less digits than its factorization.

13127374804752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60646 (or 60637 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 13127374804752 in words is "thirteen trillion, one hundred twenty-seven billion, three hundred seventy-four million, eight hundred four thousand, seven hundred fifty-two".