11552432400 has 90 divisors (see below), whose sum is σ = 40090161930. Its totient is φ = 3080647680.

The previous prime is 11552432393. The next prime is 11552432407. The reversal of 11552432400 is 423425511.

11552432400 is a `hidden beast` number, since 1 + 15 + 5 + 243 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (11552432393) and next prime (11552432407).

It can be written as a sum of positive squares in 3 ways, for example, as 102576384 + 11449856016 = 10128^2 + 107004^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (11552432407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1600905 + ... + 1608104.

Almost surely, 2^11552432400 is an apocalyptic number.

11552432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11552432400 is an abundant number, since it is smaller than the sum of its proper divisors (28537729530).

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

11552432400 is a wasteful number, since it uses less digits than its factorization.

11552432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209033 (or 3209019 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11552432400 its reverse (423425511), we get a palindrome (11975857911).

The spelling of 11552432400 in words is "eleven billion, five hundred fifty-two million, four hundred thirty-two thousand, four hundred".