11250508800 has 264 divisors, whose sum is σ = 37391910336. Its totient is φ = 2983362560.

The previous prime is 11250508771. The next prime is 11250508847. The reversal of 11250508800 is 880505211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20198122 + ... + 20198678.

It is an arithmetic number, because the mean of its divisors is an integer number (141636024).

Almost surely, 2^11250508800 is an apocalyptic number.

11250508800 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 11250508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695955168).

11250508800 is an abundant number, since it is smaller than the sum of its proper divisors (26141401536).

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

11250508800 is a wasteful number, since it uses less digits than its factorization.

11250508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 11250508800 in words is "eleven billion, two hundred fifty million, five hundred eight thousand, eight hundred".