21039615744192 has 168 divisors, whose sum is σ = 61139311974624. Its totient is φ = 6916348809216.

The previous prime is 21039615744167. The next prime is 21039615744193. The reversal of 21039615744192 is 29144751693012.

21039615744192 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 9 + 61 + 57 + 441 + 92 = 666.

It is a super-4 number, since 4×21039615744192⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (21039615744193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458426398 + ... + 458472290.

Almost surely, 2^{21039615744192} 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 21039615744192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569655987312).

21039615744192 is an abundant number, since it is smaller than the sum of its proper divisors (40099696230432).

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

21039615744192 is a wasteful number, since it uses less digits than its factorization.

21039615744192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56887 (or 56874 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 21039615744192 in words is "twenty-one trillion, thirty-nine billion, six hundred fifteen million, seven hundred forty-four thousand, one hundred ninety-two".