11862016560 has 360 divisors, whose sum is σ = 42787670640. Its totient is φ = 2944180224.

The previous prime is 11862016511. The next prime is 11862016561. The reversal of 11862016560 is 6561026811.

11862016560 is a `hidden beast` number, since 1 + 1 + 86 + 2 + 0 + 16 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (11862016561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22680459 + ... + 22680981.

Almost surely, 2^11862016560 is an apocalyptic number.

11862016560 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 11862016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21393835320).

11862016560 is an abundant number, since it is smaller than the sum of its proper divisors (30925654080).

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

11862016560 is a wasteful number, since it uses less digits than its factorization.

11862016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11862016560 in words is "eleven billion, eight hundred sixty-two million, sixteen thousand, five hundred sixty".