20509641200 has 240 divisors, whose sum is σ = 53704062720. Its totient is φ = 7501455360.

The previous prime is 20509641193. The next prime is 20509641221. The reversal of 20509641200 is 214690502.

It is a happy number.

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, 31699277 + ... + 31699923.

It is an arithmetic number, because the mean of its divisors is an integer number (223766928).

Almost surely, 2^20509641200 is an apocalyptic number.

20509641200 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 20509641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852031360).

20509641200 is an abundant number, since it is smaller than the sum of its proper divisors (33194421520).

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

20509641200 is a wasteful number, since it uses less digits than its factorization.

20509641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 20509641200 in words is "twenty billion, five hundred nine million, six hundred forty-one thousand, two hundred".