20530584000 has 672 divisors, whose sum is σ = 77884934400. Its totient is φ = 5351961600.

The previous prime is 20530583999. The next prime is 20530584023. The reversal of 20530584000 is 48503502.

20530584000 is a `hidden beast` number, since 205 + 3 + 0 + 58 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114695911 + ... + 114696089.

It is an arithmetic number, because the mean of its divisors is an integer number (115900200).

Almost surely, 2^20530584000 is an apocalyptic number.

20530584000 is a gapful number since it is divisible by the number (20) 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 20530584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38942467200).

20530584000 is an abundant number, since it is smaller than the sum of its proper divisors (57354350400).

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

20530584000 is an equidigital number, since it uses as much as digits as its factorization.

20530584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20530584000 in words is "twenty billion, five hundred thirty million, five hundred eighty-four thousand".