20553523200 has 1008 divisors, whose sum is σ = 88735570560. Its totient is φ = 4618321920.

The previous prime is 20553523157. The next prime is 20553523213. The reversal of 20553523200 is 232535502.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364771 + ... + 348364829.

It is an arithmetic number, because the mean of its divisors is an integer number (88031320).

Almost surely, 2^20553523200 is an apocalyptic number.

20553523200 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 20553523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44367785280).

20553523200 is an abundant number, since it is smaller than the sum of its proper divisors (68182047360).

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

20553523200 is an frugal number, since it uses more digits than its factorization.

20553523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 20553523200 in words is "twenty billion, five hundred fifty-three million, five hundred twenty-three thousand, two hundred".