11810530368 has 252 divisors, whose sum is σ = 42410260620. Its totient is φ = 3114768384.

The previous prime is 11810530349. The next prime is 11810530373. The reversal of 11810530368 is 86303501811.

11810530368 is a `hidden beast` number, since 11 + 81 + 0 + 530 + 36 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2608349184 + 9202181184 = 51072^2 + 95928^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350818 + ... + 383006.

It is an arithmetic number, because the mean of its divisors is an integer number (168294685).

Almost surely, 2^11810530368 is an apocalyptic number.

11810530368 is a gapful number since it is divisible by the number (18) 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 11810530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21205130310).

11810530368 is an abundant number, since it is smaller than the sum of its proper divisors (30599730252).

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

11810530368 is a wasteful number, since it uses less digits than its factorization.

11810530368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32234 (or 32214 counting only the distinct ones).

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

The spelling of 11810530368 in words is "eleven billion, eight hundred ten million, five hundred thirty thousand, three hundred sixty-eight".