20060985600 has 324 divisors, whose sum is σ = 73668823956. Its totient is φ = 5204459520.

The previous prime is 20060985599. The next prime is 20060985611. The reversal of 20060985600 is 658906002.

20060985600 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 0 + 98 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3917758464 + 16143227136 = 62592^2 + 127056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2126494 + ... + 2135906.

Almost surely, 2^20060985600 is an apocalyptic number.

20060985600 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 20060985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36834411978).

20060985600 is an abundant number, since it is smaller than the sum of its proper divisors (53607838356).

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

20060985600 is a wasteful number, since it uses less digits than its factorization.

20060985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20060985600 in words is "twenty billion, sixty million, nine hundred eighty-five thousand, six hundred".