20486106720 has 288 divisors, whose sum is σ = 72514757952. Its totient is φ = 5262299136.

The previous prime is 20486106709. The next prime is 20486106721. The reversal of 20486106720 is 2760168402.

20486106720 is a `hidden beast` number, since 2 + 0 + 486 + 106 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20486106721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5485974 + ... + 5489706.

It is an arithmetic number, because the mean of its divisors is an integer number (251787354).

Almost surely, 2^20486106720 is an apocalyptic number.

20486106720 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 20486106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36257378976).

20486106720 is an abundant number, since it is smaller than the sum of its proper divisors (52028651232).

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

20486106720 is a wasteful number, since it uses less digits than its factorization.

20486106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20486106720 in words is "twenty billion, four hundred eighty-six million, one hundred six thousand, seven hundred twenty".