11712431001600 has 1560 divisors, whose sum is σ = 50411679610688. Its totient is φ = 2632443494400.

The previous prime is 11712431001589. The next prime is 11712431001641. The reversal of 11712431001600 is 610013421711.

11712431001600 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 2 + 43 + 10 + 0 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3541707147 + ... + 3541710453.

Almost surely, 2^{11712431001600} is an apocalyptic number.

11712431001600 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 11712431001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205839805344).

11712431001600 is an abundant number, since it is smaller than the sum of its proper divisors (38699248609088).

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

11712431001600 is an equidigital number, since it uses as much as digits as its factorization.

11712431001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11712431001600 in words is "eleven trillion, seven hundred twelve billion, four hundred thirty-one million, one thousand, six hundred".