20102272800 has 288 divisors, whose sum is σ = 66803849280. Its totient is φ = 5249433600.

The previous prime is 20102272769. The next prime is 20102272811. The reversal of 20102272800 is 827220102.

It is a happy number.

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

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, 31360480 + ... + 31361120.

It is an arithmetic number, because the mean of its divisors is an integer number (231957810).

Almost surely, 2^20102272800 is an apocalyptic number.

20102272800 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 20102272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33401924640).

20102272800 is an abundant number, since it is smaller than the sum of its proper divisors (46701576480).

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

20102272800 is a wasteful number, since it uses less digits than its factorization.

20102272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 20102272800 its reverse (827220102), we get a palindrome (20929492902).

The spelling of 20102272800 in words is "twenty billion, one hundred two million, two hundred seventy-two thousand, eight hundred".