20786482080 has 1728 divisors, whose sum is σ = 99383251968. Its totient is φ = 3901685760.

The previous prime is 20786482051. The next prime is 20786482099. The reversal of 20786482080 is 8028468702.

It is a happy number.

20786482080 is a `hidden beast` number, since 20 + 78 + 6 + 482 + 0 + 80 = 666.

It is a super-2 number, since 2×20786482080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 483406539 + ... + 483406581.

It is an arithmetic number, because the mean of its divisors is an integer number (57513456).

Almost surely, 2^20786482080 is an apocalyptic number.

20786482080 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 20786482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49691625984).

20786482080 is an abundant number, since it is smaller than the sum of its proper divisors (78596769888).

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

20786482080 is a wasteful number, since it uses less digits than its factorization.

20786482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20786482080 in words is "twenty billion, seven hundred eighty-six million, four hundred eighty-two thousand, eighty".