13150742687560 has 128 divisors (see below), whose sum is σ = 30398148063360. Its totient is φ = 5118183116800.

The previous prime is 13150742687557. The next prime is 13150742687561. The reversal of 13150742687560 is 6578624705131.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13150742687561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431283915 + ... + 431314405.

It is an arithmetic number, because the mean of its divisors is an integer number (237485531745).

Almost surely, 2^{13150742687560} is an apocalyptic number.

13150742687560 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 13150742687560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199074031680).

13150742687560 is an abundant number, since it is smaller than the sum of its proper divisors (17247405375800).

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

13150742687560 is a wasteful number, since it uses less digits than its factorization.

13150742687560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32239 (or 32235 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 13150742687560 in words is "thirteen trillion, one hundred fifty billion, seven hundred forty-two million, six hundred eighty-seven thousand, five hundred sixty".