11504142400 has 168 divisors, whose sum is σ = 28802493576. Its totient is φ = 4521984000.

The previous prime is 11504142367. The next prime is 11504142413. The reversal of 11504142400 is 424140511.

It can be written as a sum of positive squares in 12 ways, for example, as 92775424 + 11411366976 = 9632^2 + 106824^2 .

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, 41531062 + ... + 41531338.

Almost surely, 2^11504142400 is an apocalyptic number.

11504142400 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 11504142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401246788).

11504142400 is an abundant number, since it is smaller than the sum of its proper divisors (17298351176).

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

11504142400 is a wasteful number, since it uses less digits than its factorization.

11504142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 11504142400 its reverse (424140511), we get a palindrome (11928282911).

The spelling of 11504142400 in words is "eleven billion, five hundred four million, one hundred forty-two thousand, four hundred".