20261680112 has 160 divisors (see below), whose sum is σ = 43832908800. Its totient is φ = 9032601600.

The previous prime is 20261680093. The next prime is 20261680133. The reversal of 20261680112 is 21108616202.

It is a super-2 number, since 2×20261680112² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 101817389 + ... + 101817587.

It is an arithmetic number, because the mean of its divisors is an integer number (273955680).

Almost surely, 2^20261680112 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 20261680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21916454400).

20261680112 is an abundant number, since it is smaller than the sum of its proper divisors (23571228688).

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

20261680112 is a wasteful number, since it uses less digits than its factorization.

20261680112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 20261680112 in words is "twenty billion, two hundred sixty-one million, six hundred eighty thousand, one hundred twelve".