20581599060 has 288 divisors, whose sum is σ = 69140058624. Its totient is φ = 4955385600.

The previous prime is 20581599029. The next prime is 20581599089. The reversal of 20581599060 is 6099518502.

20581599060 is a `hidden beast` number, since 2 + 0 + 58 + 1 + 599 + 0 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20581598997 and 20581599015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64926022 + ... + 64926338.

It is an arithmetic number, because the mean of its divisors is an integer number (240069648).

Almost surely, 2^20581599060 is an apocalyptic number.

20581599060 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 20581599060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34570029312).

20581599060 is an abundant number, since it is smaller than the sum of its proper divisors (48558459564).

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

20581599060 is a wasteful number, since it uses less digits than its factorization.

20581599060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 20581599060 in words is "twenty billion, five hundred eighty-one million, five hundred ninety-nine thousand, sixty".