11205504000 has 528 divisors, whose sum is σ = 41247475776. Its totient is φ = 2924544000.

The previous prime is 11205503993. The next prime is 11205504029. The reversal of 11205504000 is 40550211.

11205504000 is a `hidden beast` number, since 11 + 205 + 50 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81791932 + ... + 81792068.

Almost surely, 2^11205504000 is an apocalyptic number.

11205504000 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 11205504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623737888).

11205504000 is an abundant number, since it is smaller than the sum of its proper divisors (30041971776).

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

11205504000 is a wasteful number, since it uses less digits than its factorization.

11205504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

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

The spelling of 11205504000 in words is "eleven billion, two hundred five million, five hundred four thousand".