11510452800 has 756 divisors, whose sum is σ = 51951581136. Its totient is φ = 2390169600.

The previous prime is 11510452783. The next prime is 11510452819. The reversal of 11510452800 is 825401511.

It is a super-2 number, since 2×11510452800² (a number of 21 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 7760859 + ... + 7762341.

Almost surely, 2^11510452800 is an apocalyptic number.

11510452800 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 11510452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25975790568).

11510452800 is an abundant number, since it is smaller than the sum of its proper divisors (40441128336).

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

11510452800 is a wasteful number, since it uses less digits than its factorization.

11510452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 11510452800 in words is "eleven billion, five hundred ten million, four hundred fifty-two thousand, eight hundred".