20812189824 has 96 divisors (see below), whose sum is σ = 59950647900. Its totient is φ = 6930284544.

The previous prime is 20812189819. The next prime is 20812189861. The reversal of 20812189824 is 42898121802.

It can be written as a sum of positive squares in 2 ways, for example, as 20687644224 + 124545600 = 143832^2 + 11160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20812189824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1181272 + ... + 1198760.

Almost surely, 2^20812189824 is an apocalyptic number.

20812189824 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 20812189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29975323950).

20812189824 is an abundant number, since it is smaller than the sum of its proper divisors (39138458076).

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

20812189824 is a wasteful number, since it uses less digits than its factorization.

20812189824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18542 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 20812189824 in words is "twenty billion, eight hundred twelve million, one hundred eighty-nine thousand, eight hundred twenty-four".