11716837920 has 672 divisors, whose sum is σ = 46405457280. Its totient is φ = 2776965120.

The previous prime is 11716837919. The next prime is 11716837921. The reversal of 11716837920 is 2973861711.

11716837920 is a `hidden beast` number, since 117 + 168 + 379 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11716837919) and next prime (11716837921).

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

It is not an unprimeable number, because it can be changed into a prime (11716837921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37674565 + ... + 37674875.

It is an arithmetic number, because the mean of its divisors is an integer number (69055740).

Almost surely, 2^11716837920 is an apocalyptic number.

11716837920 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 11716837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23202728640).

11716837920 is an abundant number, since it is smaller than the sum of its proper divisors (34688619360).

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

11716837920 is a wasteful number, since it uses less digits than its factorization.

11716837920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11716837920 in words is "eleven billion, seven hundred sixteen million, eight hundred thirty-seven thousand, nine hundred twenty".