11686204920 has 128 divisors (see below), whose sum is σ = 37793226240. Its totient is φ = 2873725440.

The previous prime is 11686204913. The next prime is 11686204993. The reversal of 11686204920 is 2940268611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848565 + ... + 1854875.

It is an arithmetic number, because the mean of its divisors is an integer number (295259580).

Almost surely, 2^11686204920 is an apocalyptic number.

11686204920 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 11686204920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896613120).

11686204920 is an abundant number, since it is smaller than the sum of its proper divisors (26107021320).

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

11686204920 is a wasteful number, since it uses less digits than its factorization.

11686204920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 11686204920 in words is "eleven billion, six hundred eighty-six million, two hundred four thousand, nine hundred twenty".