11685457920 has 208 divisors, whose sum is σ = 37826693280. Its totient is φ = 3079667712.

The previous prime is 11685457913. The next prime is 11685457933. The reversal of 11685457920 is 2975458611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11685457920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5467092 + ... + 5469228.

Almost surely, 2^11685457920 is an apocalyptic number.

11685457920 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 11685457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913346640).

11685457920 is an abundant number, since it is smaller than the sum of its proper divisors (26141235360).

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

11685457920 is an equidigital number, since it uses as much as digits as its factorization.

11685457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 11685457920 in words is "eleven billion, six hundred eighty-five million, four hundred fifty-seven thousand, nine hundred twenty".