11827968768 has 864 divisors, whose sum is σ = 46681689600. Its totient is φ = 2810142720.

The previous prime is 11827968709. The next prime is 11827968781. The reversal of 11827968768 is 86786972811.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407860978 + ... + 407861006.

Almost surely, 2^11827968768 is an apocalyptic number.

11827968768 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 11827968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340844800).

11827968768 is an abundant number, since it is smaller than the sum of its proper divisors (34853720832).

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

11827968768 is a wasteful number, since it uses less digits than its factorization.

11827968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 11827968768 in words is "eleven billion, eight hundred twenty-seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".