20290772502784 has 243 divisors, whose sum is σ = 48467281367673. Its totient is φ = 8453233281024.

The previous prime is 20290772502779. The next prime is 20290772502851. The reversal of 20290772502784 is 48720527709202.

The square root of 20290772502784 is 4504528.

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

It can be written as a sum of positive squares in only one way, i.e., 18156461881600 + 2134310621184 = 4261040^2 + 1460928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18666763489 + ... + 18666764575.

Almost surely, 2^{20290772502784} is an apocalyptic number.

20290772502784 is the 4504528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20290772502784

20290772502784 is an abundant number, since it is smaller than the sum of its proper divisors (28176508864889).

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

20290772502784 is an frugal number, since it uses more digits than its factorization.

20290772502784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 20290772502784 in words is "twenty trillion, two hundred ninety billion, seven hundred seventy-two million, five hundred two thousand, seven hundred eighty-four".