20282337360 has 480 divisors, whose sum is σ = 75788899200. Its totient is φ = 4985473536.

The previous prime is 20282337337. The next prime is 20282337431. The reversal of 20282337360 is 6373328202.

It is a happy number.

20282337360 is a `hidden beast` number, since 2 + 0 + 282 + 3 + 373 + 6 + 0 = 666.

It is a super-2 number, since 2×20282337360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548171262 + ... + 548171298.

It is an arithmetic number, because the mean of its divisors is an integer number (157893540).

Almost surely, 2^20282337360 is an apocalyptic number.

20282337360 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 20282337360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37894449600).

20282337360 is an abundant number, since it is smaller than the sum of its proper divisors (55506561840).

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

20282337360 is an equidigital number, since it uses as much as digits as its factorization.

20282337360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20282337360 in words is "twenty billion, two hundred eighty-two million, three hundred thirty-seven thousand, three hundred sixty".