20053264000 has 512 divisors, whose sum is σ = 63836398080. Its totient is φ = 6082560000.

The previous prime is 20053263983. The next prime is 20053264009. The reversal of 20053264000 is 46235002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20053264009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50511802 + ... + 50512198.

It is an arithmetic number, because the mean of its divisors is an integer number (124680465).

Almost surely, 2^20053264000 is an apocalyptic number.

20053264000 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 20053264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31918199040).

20053264000 is an abundant number, since it is smaller than the sum of its proper divisors (43783134080).

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

20053264000 is a wasteful number, since it uses less digits than its factorization.

20053264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 20053264000 its reverse (46235002), we get a palindrome (20099499002).

The spelling of 20053264000 in words is "twenty billion, fifty-three million, two hundred sixty-four thousand".