20285272934784 has 1024 divisors, whose sum is σ = 75083645952000. Its totient is φ = 5299673702400.

The previous prime is 20285272934779. The next prime is 20285272934789. The reversal of 20285272934784 is 48743927258202.

20285272934784 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 5 + 2 + 72 + 93 + 478 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20285272934779) and next prime (20285272934789).

It is a super-2 number, since 2×20285272934784² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20285272934789) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 666671379 + ... + 666701805.

It is an arithmetic number, because the mean of its divisors is an integer number (73323873000).

Almost surely, 2^{20285272934784} is an apocalyptic number.

20285272934784 is a gapful number since it is divisible by the number (24) 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 20285272934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37541822976000).

20285272934784 is an abundant number, since it is smaller than the sum of its proper divisors (54798373017216).

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

20285272934784 is a wasteful number, since it uses less digits than its factorization.

20285272934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30564 (or 30546 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 20285272934784 in words is "twenty trillion, two hundred eighty-five billion, two hundred seventy-two million, nine hundred thirty-four thousand, seven hundred eighty-four".