13042617756 has 96 divisors (see below), whose sum is σ = 35689758720. Its totient is φ = 3629513664.

The previous prime is 13042617739. The next prime is 13042617761. The reversal of 13042617756 is 65771624031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320685 + ... + 1330523.

It is an arithmetic number, because the mean of its divisors is an integer number (371768320).

Almost surely, 2^13042617756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042617756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844879360).

13042617756 is an abundant number, since it is smaller than the sum of its proper divisors (22647140964).

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

13042617756 is a wasteful number, since it uses less digits than its factorization.

13042617756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13042617756 in words is "thirteen billion, forty-two million, six hundred seventeen thousand, seven hundred fifty-six".