11552455200 has 576 divisors, whose sum is σ = 45309849984. Its totient is φ = 2519040000.

The previous prime is 11552455153. The next prime is 11552455253. The reversal of 11552455200 is 255425511.

It is a super-2 number, since 2×11552455200² (a number of 21 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 14070790 + ... + 14071610.

It is an arithmetic number, because the mean of its divisors is an integer number (78662934).

Almost surely, 2^11552455200 is an apocalyptic number.

11552455200 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 11552455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654924992).

11552455200 is an abundant number, since it is smaller than the sum of its proper divisors (33757394784).

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

11552455200 is a wasteful number, since it uses less digits than its factorization.

11552455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 11552455200 in words is "eleven billion, five hundred fifty-two million, four hundred fifty-five thousand, two hundred".