11712513600 has 336 divisors, whose sum is σ = 43029835200. Its totient is φ = 3098972160.

The previous prime is 11712513569. The next prime is 11712513601. The reversal of 11712513600 is 631521711.

11712513600 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 2 + 51 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11712513601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5917411 + ... + 5919389.

Almost surely, 2^11712513600 is an apocalyptic number.

11712513600 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 11712513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21514917600).

11712513600 is an abundant number, since it is smaller than the sum of its proper divisors (31317321600).

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

11712513600 is a wasteful number, since it uses less digits than its factorization.

11712513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11712513600 in words is "eleven billion, seven hundred twelve million, five hundred thirteen thousand, six hundred".