13561932375120 has 320 divisors, whose sum is σ = 45871966863360. Its totient is φ = 3301884518400.

The previous prime is 13561932375071. The next prime is 13561932375157. The reversal of 13561932375120 is 2157323916531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13561932375120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33868717 + ... + 34266803.

It is an arithmetic number, because the mean of its divisors is an integer number (143349896448).

Almost surely, 2^{13561932375120} is an apocalyptic number.

13561932375120 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 13561932375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22935983431680).

13561932375120 is an abundant number, since it is smaller than the sum of its proper divisors (32310034488240).

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

13561932375120 is a wasteful number, since it uses less digits than its factorization.

13561932375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398394 (or 398388 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 13561932375120 in words is "thirteen trillion, five hundred sixty-one billion, nine hundred thirty-two million, three hundred seventy-five thousand, one hundred twenty".