11353254312400 has 900 divisors, whose sum is σ = 37594641512160. Its totient is φ = 3265957094400.

The previous prime is 11353254312329. The next prime is 11353254312487. The reversal of 11353254312400 is 421345235311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1785380421 + ... + 1785386779.

Almost surely, 2^{11353254312400} is an apocalyptic number.

11353254312400 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 11353254312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797320756080).

11353254312400 is an abundant number, since it is smaller than the sum of its proper divisors (26241387199760).

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

11353254312400 is a wasteful number, since it uses less digits than its factorization.

11353254312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 11353254312400 its reverse (421345235311), we get a palindrome (11774599547711).

The spelling of 11353254312400 in words is "eleven trillion, three hundred fifty-three billion, two hundred fifty-four million, three hundred twelve thousand, four hundred".