20586750080 has 128 divisors (see below), whose sum is σ = 53517784320. Its totient is φ = 7527149568.

The previous prime is 20586750071. The next prime is 20586750101. The reversal of 20586750080 is 8005768502.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844949 + ... + 868971.

It is an arithmetic number, because the mean of its divisors is an integer number (418107690).

Almost surely, 2^20586750080 is an apocalyptic number.

20586750080 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 20586750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26758892160).

20586750080 is an abundant number, since it is smaller than the sum of its proper divisors (32931034240).

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

20586750080 is a wasteful number, since it uses less digits than its factorization.

20586750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24158 (or 24146 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 20586750080 in words is "twenty billion, five hundred eighty-six million, seven hundred fifty thousand, eighty".