11358912000 has 320 divisors, whose sum is σ = 38372615424. Its totient is φ = 2980454400.

The previous prime is 11358911989. The next prime is 11358912029. The reversal of 11358912000 is 21985311.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12863559 + ... + 12864441.

Almost surely, 2^11358912000 is an apocalyptic number.

11358912000 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 11358912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186307712).

11358912000 is an abundant number, since it is smaller than the sum of its proper divisors (27013703424).

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

11358912000 is an frugal number, since it uses more digits than its factorization.

11358912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11358912000 in words is "eleven billion, three hundred fifty-eight million, nine hundred twelve thousand".