20268124800 has 576 divisors, whose sum is σ = 84738817440. Its totient is φ = 4210483200.

The previous prime is 20268124781. The next prime is 20268124813. The reversal of 20268124800 is 842186202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5172442 + ... + 5176358.

Almost surely, 2^20268124800 is an apocalyptic number.

20268124800 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 20268124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42369408720).

20268124800 is an abundant number, since it is smaller than the sum of its proper divisors (64470692640).

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

20268124800 is a wasteful number, since it uses less digits than its factorization.

20268124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 20268124800 in words is "twenty billion, two hundred sixty-eight million, one hundred twenty-four thousand, eight hundred".