11257382400 has 480 divisors, whose sum is σ = 42013382400. Its totient is φ = 2632089600.

The previous prime is 11257382393. The next prime is 11257382401. The reversal of 11257382400 is 428375211.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257382401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12249141 + ... + 12250059.

It is an arithmetic number, because the mean of its divisors is an integer number (87527880).

Almost surely, 2^11257382400 is an apocalyptic number.

11257382400 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 11257382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21006691200).

11257382400 is an abundant number, since it is smaller than the sum of its proper divisors (30756000000).

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

11257382400 is a wasteful number, since it uses less digits than its factorization.

11257382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11257382400 in words is "eleven billion, two hundred fifty-seven million, three hundred eighty-two thousand, four hundred".