11504334400 has 84 divisors (see below), whose sum is σ = 30485435092. Its totient is φ = 4247746560.

The previous prime is 11504334353. The next prime is 11504334403. The reversal of 11504334400 is 443340511.

It can be written as a sum of positive squares in 6 ways, for example, as 3845984256 + 7658350144 = 62016^2 + 87512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11504334403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255747 + ... + 297346.

Almost surely, 2^11504334400 is an apocalyptic number.

11504334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11504334400 is an abundant number, since it is smaller than the sum of its proper divisors (18981100692).

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

11504334400 is a wasteful number, since it uses less digits than its factorization.

11504334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553128 (or 553113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11504334400 its reverse (443340511), we get a palindrome (11947674911).

The spelling of 11504334400 in words is "eleven billion, five hundred four million, three hundred thirty-four thousand, four hundred".