11775836160 has 544 divisors, whose sum is σ = 46053106560. Its totient is φ = 2854748160.

The previous prime is 11775836153. The next prime is 11775836161. The reversal of 11775836160 is 6163857711.

11775836160 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 583 + 6 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11775836161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070530555 + ... + 1070530565.

Almost surely, 2^11775836160 is an apocalyptic number.

11775836160 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 11775836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026553280).

11775836160 is an abundant number, since it is smaller than the sum of its proper divisors (34277270400).

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

11775836160 is an frugal number, since it uses more digits than its factorization.

11775836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11775836160 in words is "eleven billion, seven hundred seventy-five million, eight hundred thirty-six thousand, one hundred sixty".