11040552000 has 672 divisors, whose sum is σ = 42280392960. Its totient is φ = 2743910400.

The previous prime is 11040551999. The next prime is 11040552049. The reversal of 11040552000 is 25504011.

11040552000 is a `hidden beast` number, since 110 + 4 + 0 + 552 + 0 + 0 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97703944 + ... + 97704056.

Almost surely, 2^11040552000 is an apocalyptic number.

11040552000 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 11040552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21140196480).

11040552000 is an abundant number, since it is smaller than the sum of its proper divisors (31239840960).

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

11040552000 is a wasteful number, since it uses less digits than its factorization.

11040552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 11040552000 in words is "eleven billion, forty million, five hundred fifty-two thousand".