20162261934080 has 896 divisors, whose sum is σ = 59076940723200. Its totient is φ = 6459903442944.

The previous prime is 20162261934071. The next prime is 20162261934131. The reversal of 20162261934080 is 8043916226102.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 35812187879 + ... + 35812188441.

Almost surely, 2^{20162261934080} is an apocalyptic number.

20162261934080 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 20162261934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538470361600).

20162261934080 is an abundant number, since it is smaller than the sum of its proper divisors (38914678789120).

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

20162261934080 is an equidigital number, since it uses as much as digits as its factorization.

20162261934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 20162261934080 in words is "twenty trillion, one hundred sixty-two billion, two hundred sixty-one million, nine hundred thirty-four thousand, eighty".