11654042825160 has 96 divisors (see below), whose sum is σ = 38331972282240. Its totient is φ = 3070302037632.

The previous prime is 11654042825143. The next prime is 11654042825167. The reversal of 11654042825160 is 6152824045611.

11654042825160 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 40 + 428 + 25 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11654042825167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194984224 + ... + 195043983.

It is an arithmetic number, because the mean of its divisors is an integer number (399291377940).

Almost surely, 2^{11654042825160} is an apocalyptic number.

11654042825160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11654042825160 is an abundant number, since it is smaller than the sum of its proper divisors (26677929457080).

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

11654042825160 is a wasteful number, since it uses less digits than its factorization.

11654042825160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390028307 (or 390028300 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11654042825160 in words is "eleven trillion, six hundred fifty-four billion, forty-two million, eight hundred twenty-five thousand, one hundred sixty".