13875029280 has 144 divisors (see below), whose sum is σ = 54112653504. Its totient is φ = 3171432960.

The previous prime is 13875029269. The next prime is 13875029327. The reversal of 13875029280 is 8292057831.

It is a happy number.

13875029280 is a `hidden beast` number, since 138 + 7 + 502 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678166 + ... + 698325.

It is an arithmetic number, because the mean of its divisors is an integer number (375782316).

Almost surely, 2^13875029280 is an apocalyptic number.

13875029280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13875029280 is an abundant number, since it is smaller than the sum of its proper divisors (40237624224).

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

13875029280 is a wasteful number, since it uses less digits than its factorization.

13875029280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376519 (or 1376508 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13875029280 in words is "thirteen billion, eight hundred seventy-five million, twenty-nine thousand, two hundred eighty".