13800756240 has 160 divisors (see below), whose sum is σ = 49602896640. Its totient is φ = 3520180224.

The previous prime is 13800756227. The next prime is 13800756271. The reversal of 13800756240 is 4265700831.

13800756240 is a `hidden beast` number, since 13 + 80 + 0 + 7 + 562 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13800756195 and 13800756204.

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, 89217 + ... + 188576.

It is an arithmetic number, because the mean of its divisors is an integer number (310018104).

Almost surely, 2^13800756240 is an apocalyptic number.

13800756240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13800756240 is an abundant number, since it is smaller than the sum of its proper divisors (35802140400).

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

13800756240 is a wasteful number, since it uses less digits than its factorization.

13800756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277838 (or 277826 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13800756240 in words is "thirteen billion, eight hundred million, seven hundred fifty-six thousand, two hundred forty".