13895785260 has 288 divisors, whose sum is σ = 49165788672. Its totient is φ = 3111229440.

The previous prime is 13895785259. The next prime is 13895785273. The reversal of 13895785260 is 6258759831.

13895785260 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 578 + 5 + 2 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13895785197 and 13895785206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20344879 + ... + 20345561.

It is an arithmetic number, because the mean of its divisors is an integer number (170714544).

Almost surely, 2^13895785260 is an apocalyptic number.

13895785260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13895785260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24582894336).

13895785260 is an abundant number, since it is smaller than the sum of its proper divisors (35270003412).

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

13895785260 is a wasteful number, since it uses less digits than its factorization.

13895785260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 13895785260 in words is "thirteen billion, eight hundred ninety-five million, seven hundred eighty-five thousand, two hundred sixty".