11864021904 has 360 divisors, whose sum is σ = 40470124032. Its totient is φ = 3231083520.

The previous prime is 11864021899. The next prime is 11864021921. The reversal of 11864021904 is 40912046811.

11864021904 is a `hidden beast` number, since 1 + 1 + 8 + 640 + 2 + 1 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15967357 + ... + 15968099.

Almost surely, 2^11864021904 is an apocalyptic number.

11864021904 is a gapful number since it is divisible by the number (14) 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 11864021904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235062016).

11864021904 is an abundant number, since it is smaller than the sum of its proper divisors (28606102128).

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

11864021904 is a wasteful number, since it uses less digits than its factorization.

11864021904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11864021904 in words is "eleven billion, eight hundred sixty-four million, twenty-one thousand, nine hundred four".