20289464300 has 432 divisors, whose sum is σ = 57869108640. Its totient is φ = 6123479040.

The previous prime is 20289464297. The next prime is 20289464339. The reversal of 20289464300 is 346498202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89380787 + ... + 89381013.

It is an arithmetic number, because the mean of its divisors is an integer number (133956270).

Almost surely, 2^20289464300 is an apocalyptic number.

20289464300 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 20289464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28934554320).

20289464300 is an abundant number, since it is smaller than the sum of its proper divisors (37579644340).

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

20289464300 is a wasteful number, since it uses less digits than its factorization.

20289464300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 20289464300 in words is "twenty billion, two hundred eighty-nine million, four hundred sixty-four thousand, three hundred".