20791584000 has 432 divisors, whose sum is σ = 81627908544. Its totient is φ = 5039616000.

The previous prime is 20791583977. The next prime is 20791584013. The reversal of 20791584000 is 48519702.

20791584000 is a `hidden beast` number, since 2 + 0 + 79 + 1 + 584 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164719 + ... + 3171281.

It is an arithmetic number, because the mean of its divisors is an integer number (188953492).

Almost surely, 2^20791584000 is an apocalyptic number.

20791584000 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 20791584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40813954272).

20791584000 is an abundant number, since it is smaller than the sum of its proper divisors (60836324544).

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

20791584000 is a wasteful number, since it uses less digits than its factorization.

20791584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 20791584000 in words is "twenty billion, seven hundred ninety-one million, five hundred eighty-four thousand".