21142259712 has 756 divisors, whose sum is σ = 78322636665. Its totient is φ = 5685313536.

The previous prime is 21142259707. The next prime is 21142259753. The reversal of 21142259712 is 21795224112.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

21142259712 is a `hidden beast` number, since 2 + 11 + 42 + 2 + 597 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19349922816 + 1792336896 = 139104^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=102816.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1243662328 + ... + 1243662344.

Almost surely, 2^21142259712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142259712

21142259712 is an abundant number, since it is smaller than the sum of its proper divisors (57180376953).

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

21142259712 is an frugal number, since it uses more digits than its factorization.

21142259712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 21142259712 in words is "twenty-one billion, one hundred forty-two million, two hundred fifty-nine thousand, seven hundred twelve".