11705025960 has 128 divisors (see below), whose sum is σ = 39599337600. Its totient is φ = 3074734080.

The previous prime is 11705025901. The next prime is 11705025971. The reversal of 11705025960 is 6952050711.

11705025960 is a `hidden beast` number, since 1 + 17 + 0 + 50 + 2 + 596 + 0 = 666.

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

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, 8521 + ... + 153240.

It is an arithmetic number, because the mean of its divisors is an integer number (309369825).

Almost surely, 2^11705025960 is an apocalyptic number.

11705025960 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 11705025960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19799668800).

11705025960 is an abundant number, since it is smaller than the sum of its proper divisors (27894311640).

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

11705025960 is a wasteful number, since it uses less digits than its factorization.

11705025960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161848 (or 161838 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11705025960 in words is "eleven billion, seven hundred five million, twenty-five thousand, nine hundred sixty".