20331322295424 has 768 divisors, whose sum is σ = 67370585472000. Its totient is φ = 5306780344320.

The previous prime is 20331322295399. The next prime is 20331322295441. The reversal of 20331322295424 is 42459222313302.

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

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 95 ways as a sum of consecutive naturals, for example, 18601392222 + ... + 18601393314.

It is an arithmetic number, because the mean of its divisors is an integer number (87722116500).

Almost surely, 2^{20331322295424} is an apocalyptic number.

20331322295424 is a gapful number since it is divisible by the number (24) 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 20331322295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33685292736000).

20331322295424 is an abundant number, since it is smaller than the sum of its proper divisors (47039263176576).

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

20331322295424 is a wasteful number, since it uses less digits than its factorization.

20331322295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 20331322295424 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-two million, two hundred ninety-five thousand, four hundred twenty-four".