20505264000 has 512 divisors, whose sum is σ = 77549996160. Its totient is φ = 4748083200.

The previous prime is 20505263953. The next prime is 20505264007. The reversal of 20505264000 is 46250502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20505264007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10607034 + ... + 10608966.

Almost surely, 2^20505264000 is an apocalyptic number.

20505264000 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 20505264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38774998080).

20505264000 is an abundant number, since it is smaller than the sum of its proper divisors (57044732160).

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

20505264000 is a wasteful number, since it uses less digits than its factorization.

20505264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 20505264000 in words is "twenty billion, five hundred five million, two hundred sixty-four thousand".