20089831458816 has 2304 divisors, whose sum is σ = 77871725568000. Its totient is φ = 5090752364544.

The previous prime is 20089831458743. The next prime is 20089831458833. The reversal of 20089831458816 is 61885413898002.

20089831458816 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 9 + 8 + 31 + 4 + 588 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 427443222505 + ... + 427443222551.

It is an arithmetic number, because the mean of its divisors is an integer number (33798492000).

Almost surely, 2^{20089831458816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20089831458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38935862784000).

20089831458816 is an abundant number, since it is smaller than the sum of its proper divisors (57781894109184).

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

20089831458816 is an equidigital number, since it uses as much as digits as its factorization.

20089831458816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 20089831458816 in words is "twenty trillion, eighty-nine billion, eight hundred thirty-one million, four hundred fifty-eight thousand, eight hundred sixteen".