11253998400 has 168 divisors, whose sum is σ = 36973154400. Its totient is φ = 2996951040.

The previous prime is 11253998387. The next prime is 11253998411. The reversal of 11253998400 is 489935211.

It is a congruent number.

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, 5360551 + ... + 5362649.

It is an arithmetic number, because the mean of its divisors is an integer number (220078300).

Almost surely, 2^11253998400 is an apocalyptic number.

11253998400 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 11253998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486577200).

11253998400 is an abundant number, since it is smaller than the sum of its proper divisors (25719156000).

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

11253998400 is a wasteful number, since it uses less digits than its factorization.

11253998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11253998400 in words is "eleven billion, two hundred fifty-three million, nine hundred ninety-eight thousand, four hundred".