11253526000 has 80 divisors (see below), whose sum is σ = 27234417600. Its totient is φ = 4497542400.

The previous prime is 11253525991. The next prime is 11253526019. The reversal of 11253526000 is 62535211.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3896557 + ... + 3899443.

It is an arithmetic number, because the mean of its divisors is an integer number (340430220).

Almost surely, 2^11253526000 is an apocalyptic number.

11253526000 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 11253526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617208800).

11253526000 is an abundant number, since it is smaller than the sum of its proper divisors (15980891600).

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

11253526000 is a wasteful number, since it uses less digits than its factorization.

11253526000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 11253526000 in words is "eleven billion, two hundred fifty-three million, five hundred twenty-six thousand".