20812380288 has 256 divisors, whose sum is σ = 67118284800. Its totient is φ = 5578113024.

The previous prime is 20812380287. The next prime is 20812380301. The reversal of 20812380288 is 88208321802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20812380287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19146081 + ... + 19147167.

It is an arithmetic number, because the mean of its divisors is an integer number (262180800).

Almost surely, 2^20812380288 is an apocalyptic number.

20812380288 is a gapful number since it is divisible by the number (28) 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 20812380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33559142400).

20812380288 is an abundant number, since it is smaller than the sum of its proper divisors (46305904512).

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

20812380288 is a wasteful number, since it uses less digits than its factorization.

20812380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 20812380288 in words is "twenty billion, eight hundred twelve million, three hundred eighty thousand, two hundred eighty-eight".