11031552000 has 1120 divisors, whose sum is σ = 49479281280. Its totient is φ = 2388787200.

The previous prime is 11031551983. The next prime is 11031552029. The reversal of 11031552000 is 25513011.

11031552000 is a `hidden beast` number, since 110 + 3 + 1 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580607991 + ... + 580608009.

Almost surely, 2^11031552000 is an apocalyptic number.

11031552000 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 11031552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24739640640).

11031552000 is an abundant number, since it is smaller than the sum of its proper divisors (38447729280).

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

11031552000 is an frugal number, since it uses more digits than its factorization.

11031552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 11031552000 in words is "eleven billion, thirty-one million, five hundred fifty-two thousand".