11827085760 has 504 divisors, whose sum is σ = 48644799840. Its totient is φ = 2583465984.

The previous prime is 11827085731. The next prime is 11827085771. The reversal of 11827085760 is 6758072811.

It is a happy number.

11827085760 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 70 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10664086 + ... + 10665194.

It is an arithmetic number, because the mean of its divisors is an integer number (96517460).

Almost surely, 2^11827085760 is an apocalyptic number.

11827085760 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 11827085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322399920).

11827085760 is an abundant number, since it is smaller than the sum of its proper divisors (36817714080).

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

11827085760 is a wasteful number, since it uses less digits than its factorization.

11827085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 11827085760 in words is "eleven billion, eight hundred twenty-seven million, eighty-five thousand, seven hundred sixty".