11455110400 has 108 divisors (see below), whose sum is σ = 28504675584. Its totient is φ = 4557568000.

The previous prime is 11455110397. The next prime is 11455110451. The reversal of 11455110400 is 401155411.

It is a happy number.

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, 1217715 + ... + 1227085.

Almost surely, 2^11455110400 is an apocalyptic number.

11455110400 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 11455110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252337792).

11455110400 is an abundant number, since it is smaller than the sum of its proper divisors (17049565184).

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

11455110400 is an equidigital number, since it uses as much as digits as its factorization.

11455110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 11455110400 its reverse (401155411), we get a palindrome (11856265811).

The spelling of 11455110400 in words is "eleven billion, four hundred fifty-five million, one hundred ten thousand, four hundred".