11251462400 has 108 divisors (see below), whose sum is σ = 28747993344. Its totient is φ = 4355328000.

The previous prime is 11251462361. The next prime is 11251462429. The reversal of 11251462400 is 426415211.

It is a super-2 number, since 2×11251462400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11251462400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170045 + ... + 226755.

Almost surely, 2^11251462400 is an apocalyptic number.

11251462400 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 11251462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373996672).

11251462400 is an abundant number, since it is smaller than the sum of its proper divisors (17496530944).

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

11251462400 is an equidigital number, since it uses as much as digits as its factorization.

11251462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56768 (or 56749 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11251462400 its reverse (426415211), we get a palindrome (11677877611).

The spelling of 11251462400 in words is "eleven billion, two hundred fifty-one million, four hundred sixty-two thousand, four hundred".