13127652720 has 1280 divisors, whose sum is σ = 59996160000. Its totient is φ = 2617380864.

The previous prime is 13127652719. The next prime is 13127652731. The reversal of 13127652720 is 2725672131.

13127652720 is a `hidden beast` number, since 1 + 3 + 127 + 6 + 527 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 279311737 + ... + 279311783.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000).

Almost surely, 2^13127652720 is an apocalyptic number.

13127652720 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 13127652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080000).

13127652720 is an abundant number, since it is smaller than the sum of its proper divisors (46868507280).

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

13127652720 is a wasteful number, since it uses less digits than its factorization.

13127652720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13127652720 in words is "thirteen billion, one hundred twenty-seven million, six hundred fifty-two thousand, seven hundred twenty".