11253085000 has 80 divisors (see below), whose sum is σ = 26455469040. Its totient is φ = 4485960000.

The previous prime is 11253084991. The next prime is 11253085007. The reversal of 11253085000 is 58035211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11253085007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1531335 + ... + 1538665.

It is an arithmetic number, because the mean of its divisors is an integer number (330693363).

Almost surely, 2^11253085000 is an apocalyptic number.

11253085000 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 11253085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227734520).

11253085000 is an abundant number, since it is smaller than the sum of its proper divisors (15202384040).

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

11253085000 is an equidigital number, since it uses as much as digits as its factorization.

11253085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 11253085000 in words is "eleven billion, two hundred fifty-three million, eighty-five thousand".