11505000657312 has 120 divisors (see below), whose sum is σ = 33850558872900. Its totient is φ = 3833337332736.

The previous prime is 11505000657301. The next prime is 11505000657341. The reversal of 11505000657312 is 21375600050511.

It is a happy number.

11505000657312 is a `hidden beast` number, since 1 + 15 + 0 + 500 + 0 + 65 + 73 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11153489219856 + 351511437456 = 3339684^2 + 592884^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5023764 + ... + 6946092.

Almost surely, 2^{11505000657312} is an apocalyptic number.

11505000657312 is a gapful number since it is divisible by the number (12) 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 11505000657312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925279436450).

11505000657312 is an abundant number, since it is smaller than the sum of its proper divisors (22345558215588).

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

11505000657312 is a wasteful number, since it uses less digits than its factorization.

11505000657312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924660 (or 1924643 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 11505000657312 in words is "eleven trillion, five hundred five billion, six hundred fifty-seven thousand, three hundred twelve".