11786281920 has 896 divisors, whose sum is σ = 51147878400. Its totient is φ = 2496282624.

The previous prime is 11786281901. The next prime is 11786281981. The reversal of 11786281920 is 2918268711.

11786281920 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 628 + 19 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 51468366 + ... + 51468594.

Almost surely, 2^11786281920 is an apocalyptic number.

11786281920 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 11786281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25573939200).

11786281920 is an abundant number, since it is smaller than the sum of its proper divisors (39361596480).

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

11786281920 is a wasteful number, since it uses less digits than its factorization.

11786281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11786281920 in words is "eleven billion, seven hundred eighty-six million, two hundred eighty-one thousand, nine hundred twenty".