13735530760 has 64 divisors (see below), whose sum is σ = 35467891200. Its totient is φ = 4689597696.

The previous prime is 13735530737. The next prime is 13735530763. The reversal of 13735530760 is 6703553731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13735530763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35707 + ... + 169546.

It is an arithmetic number, because the mean of its divisors is an integer number (554185800).

Almost surely, 2^13735530760 is an apocalyptic number.

13735530760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735530760 is an abundant number, since it is smaller than the sum of its proper divisors (21732360440).

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

13735530760 is a wasteful number, since it uses less digits than its factorization.

13735530760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205510 (or 205506 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 40.

The spelling of 13735530760 in words is "thirteen billion, seven hundred thirty-five million, five hundred thirty thousand, seven hundred sixty".