11256205400 has 96 divisors (see below), whose sum is σ = 29470970880. Its totient is φ = 3961104000.

The previous prime is 11256205249. The next prime is 11256205409. The reversal of 11256205400 is 450265211.

It is a self number, because there is not a number n which added to its sum of digits gives 11256205400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11256205409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14324 + ... + 150723.

It is an arithmetic number, because the mean of its divisors is an integer number (306989280).

Almost surely, 2^11256205400 is an apocalyptic number.

11256205400 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 11256205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735485440).

11256205400 is an abundant number, since it is smaller than the sum of its proper divisors (18214765480).

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

11256205400 is a wasteful number, since it uses less digits than its factorization.

11256205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165105 (or 165096 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 11256205400 in words is "eleven billion, two hundred fifty-six million, two hundred five thousand, four hundred".