13800262905 has 192 divisors, whose sum is σ = 29044334592. Its totient is φ = 5972728320.

The previous prime is 13800262859. The next prime is 13800262933. The reversal of 13800262905 is 50926200831.

It is a de Polignac number, because none of the positive numbers 2^k-13800262905 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13800262905.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31151614 + ... + 31152056.

It is an arithmetic number, because the mean of its divisors is an integer number (151272576).

Almost surely, 2^13800262905 is an apocalyptic number.

13800262905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13800262905 is an abundant number, since it is smaller than the sum of its proper divisors (15244071687).

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

13800262905 is a wasteful number, since it uses less digits than its factorization.

13800262905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13800262905 in words is "thirteen billion, eight hundred million, two hundred sixty-two thousand, nine hundred five".