11915904000 has 1408 divisors, whose sum is σ = 54935322624. Its totient is φ = 2211840000.

The previous prime is 11915903939. The next prime is 11915904001. The reversal of 11915904000 is 40951911.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11915904001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384383985 + ... + 384384015.

Almost surely, 2^11915904000 is an apocalyptic number.

11915904000 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 11915904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27467661312).

11915904000 is an abundant number, since it is smaller than the sum of its proper divisors (43019418624).

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

11915904000 is a wasteful number, since it uses less digits than its factorization.

11915904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 11915904000 in words is "eleven billion, nine hundred fifteen million, nine hundred four thousand".