13765259280 has 40 divisors (see below), whose sum is σ = 42672304512. Its totient is φ = 3670735744.

The previous prime is 13765259273. The next prime is 13765259297. The reversal of 13765259280 is 8295256731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13765259280² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28677384 + ... + 28677863.

Almost surely, 2^13765259280 is an apocalyptic number.

13765259280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13765259280 is an abundant number, since it is smaller than the sum of its proper divisors (28907045232).

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

13765259280 is a wasteful number, since it uses less digits than its factorization.

13765259280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57355263 (or 57355257 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 13765259280 in words is "thirteen billion, seven hundred sixty-five million, two hundred fifty-nine thousand, two hundred eighty".