13765242960 has 120 divisors (see below), whose sum is σ = 52832332800. Its totient is φ = 3146340096.

The previous prime is 13765242877. The next prime is 13765242961. The reversal of 13765242960 is 6924256731.

13765242960 is a `hidden beast` number, since 1 + 37 + 6 + 524 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765242961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360560 + ... + 1370639.

It is an arithmetic number, because the mean of its divisors is an integer number (440269440).

Almost surely, 2^13765242960 is an apocalyptic number.

13765242960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13765242960 is an abundant number, since it is smaller than the sum of its proper divisors (39067089840).

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

13765242960 is a wasteful number, since it uses less digits than its factorization.

13765242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731225 (or 2731216 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13765242960 in words is "thirteen billion, seven hundred sixty-five million, two hundred forty-two thousand, nine hundred sixty".