20261584800 has 432 divisors, whose sum is σ = 77259742560. Its totient is φ = 4979128320.

The previous prime is 20261584753. The next prime is 20261584807. The reversal of 20261584800 is 848516202.

20261584800 is a `hidden beast` number, since 2 + 0 + 26 + 158 + 480 + 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 not an unprimeable number, because it can be changed into a prime (20261584807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5059599 + ... + 5063601.

Almost surely, 2^20261584800 is an apocalyptic number.

20261584800 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 20261584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38629871280).

20261584800 is an abundant number, since it is smaller than the sum of its proper divisors (56998157760).

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

20261584800 is a wasteful number, since it uses less digits than its factorization.

20261584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20261584800 in words is "twenty billion, two hundred sixty-one million, five hundred eighty-four thousand, eight hundred".