20280085881888 has 768 divisors, whose sum is σ = 68463360000000. Its totient is φ = 5232599543808.

The previous prime is 20280085881857. The next prime is 20280085881973. The reversal of 20280085881888 is 88818858008202.

It is a super-2 number, since 2×20280085881888² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1433315838 + ... + 1433329986.

It is an arithmetic number, because the mean of its divisors is an integer number (89145000000).

Almost surely, 2^{20280085881888} is an apocalyptic number.

20280085881888 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 20280085881888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231680000000).

20280085881888 is an abundant number, since it is smaller than the sum of its proper divisors (48183274118112).

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

20280085881888 is a wasteful number, since it uses less digits than its factorization.

20280085881888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14310 (or 14288 counting only the distinct ones).

The product of its (nonzero) digits is 41943040, while the sum is 66.

The spelling of 20280085881888 in words is "twenty trillion, two hundred eighty billion, eighty-five million, eight hundred eighty-one thousand, eight hundred eighty-eight".