20282521968000 has 384 divisors, whose sum is σ = 72857918427840. Its totient is φ = 5407312896000.

The previous prime is 20282521967999. The next prime is 20282521968001. The reversal of 20282521968000 is 86912528202.

20282521968000 is a `hidden beast` number, since 20 + 28 + 2 + 521 + 9 + 6 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20282521967999) and next prime (20282521968001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20282521968000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20282521968001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 657632580 + ... + 657663420.

Almost surely, 2^{20282521968000} is an apocalyptic number.

20282521968000 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 20282521968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36428959213920).

20282521968000 is an abundant number, since it is smaller than the sum of its proper divisors (52575396459840).

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

20282521968000 is a wasteful number, since it uses less digits than its factorization.

20282521968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35443 (or 35418 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20282521968000 in words is "twenty trillion, two hundred eighty-two billion, five hundred twenty-one million, nine hundred sixty-eight thousand".