11811868992 has 672 divisors, whose sum is σ = 44551323648. Its totient is φ = 2927232000.

The previous prime is 11811868973. The next prime is 11811869021. The reversal of 11811868992 is 29986811811.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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, 166364317 + ... + 166364387.

Almost surely, 2^11811868992 is an apocalyptic number.

11811868992 is a gapful number since it is divisible by the number (12) 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 11811868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22275661824).

11811868992 is an abundant number, since it is smaller than the sum of its proper divisors (32739454656).

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

11811868992 is a wasteful number, since it uses less digits than its factorization.

11811868992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its digits is 497664, while the sum is 54.

The spelling of 11811868992 in words is "eleven billion, eight hundred eleven million, eight hundred sixty-eight thousand, nine hundred ninety-two".