11651904000 has 640 divisors, whose sum is σ = 47033775360. Its totient is φ = 2820096000.

The previous prime is 11651903987. The next prime is 11651904007. The reversal of 11651904000 is 40915611.

11651904000 is a `hidden beast` number, since 1 + 1 + 651 + 9 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11651904007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007694 + ... + 19008306.

It is an arithmetic number, because the mean of its divisors is an integer number (73490274).

Almost surely, 2^11651904000 is an apocalyptic number.

11651904000 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 11651904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516887680).

11651904000 is an abundant number, since it is smaller than the sum of its proper divisors (35381871360).

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

11651904000 is an equidigital number, since it uses as much as digits as its factorization.

11651904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11651904000 in words is "eleven billion, six hundred fifty-one million, nine hundred four thousand".