20389342887936 has 405 divisors, whose sum is σ = 64802765041833. Its totient is φ = 6172808970240.

The previous prime is 20389342887917. The next prime is 20389342887941. The reversal of 20389342887936 is 63978824398302.

It is a happy number.

The square root of 20389342887936 is 4515456.

It is a perfect power (a square), and thus also a powerful number.

20389342887936 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 93 + 428 + 87 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9534163009536 + 10855179878400 = 3087744^2 + 3294720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 19073285610 + ... + 19073286678.

Almost surely, 2^{20389342887936} is an apocalyptic number.

20389342887936 is the 4515456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20389342887936

20389342887936 is an abundant number, since it is smaller than the sum of its proper divisors (44413422153897).

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

20389342887936 is an frugal number, since it uses more digits than its factorization.

20389342887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 20389342887936 in words is "twenty trillion, three hundred eighty-nine billion, three hundred forty-two million, eight hundred eighty-seven thousand, nine hundred thirty-six".