20872361802384 has 135 divisors (see below), whose sum is σ = 61067458359817. Its totient is φ = 6654553897728.

The previous prime is 20872361802371. The next prime is 20872361802401. The reversal of 20872361802384 is 48320816327802.

The square root of 20872361802384 is 4568628.

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

20872361802384 is a `hidden beast` number, since 2 + 0 + 87 + 2 + 3 + 6 + 180 + 2 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20028668115600 + 843693686784 = 4475340^2 + 918528^2 .

It is a super-2 number, since 2×20872361802384² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20872361802384.

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, 1260933052 + ... + 1260949604.

Almost surely, 2^{20872361802384} is an apocalyptic number.

20872361802384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20872361802384 is the 4568628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20872361802384

20872361802384 is an abundant number, since it is smaller than the sum of its proper divisors (40195096557433).

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

20872361802384 is an frugal number, since it uses more digits than its factorization.

20872361802384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33166 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20872361802384 in words is "twenty trillion, eight hundred seventy-two billion, three hundred sixty-one million, eight hundred two thousand, three hundred eighty-four".