20509890172200 has 1152 divisors, whose sum is σ = 85423138819200. Its totient is φ = 4347692236800.

The previous prime is 20509890172171. The next prime is 20509890172223. The reversal of 20509890172200 is 227109890502.

It is a happy number.

20509890172200 is a `hidden beast` number, since 20 + 509 + 8 + 90 + 17 + 2 + 20 + 0 = 666.

It is a super-2 number, since 2×20509890172200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1765500792 + ... + 1765512408.

It is an arithmetic number, because the mean of its divisors is an integer number (74152030225).

Almost surely, 2^{20509890172200} is an apocalyptic number.

20509890172200 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 20509890172200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42711569409600).

20509890172200 is an abundant number, since it is smaller than the sum of its proper divisors (64913248647000).

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

20509890172200 is a wasteful number, since it uses less digits than its factorization.

20509890172200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11670 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20509890172200 in words is "twenty trillion, five hundred nine billion, eight hundred ninety million, one hundred seventy-two thousand, two hundred".