20009600606736 has 800 divisors, whose sum is σ = 66569031809280. Its totient is φ = 5748194377728.

The previous prime is 20009600606711. The next prime is 20009600606761. The reversal of 20009600606736 is 63760600690002.

20009600606736 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 9 + 6 + 0 + 0 + 606 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (20009600606711) and next prime (20009600606761).

It is a junction number, because it is equal to n+sod(n) for n = 20009600606691 and 20009600606700.

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 159 ways as a sum of consecutive naturals, for example, 29296633051 + ... + 29296633733.

Almost surely, 2^{20009600606736} is an apocalyptic number.

20009600606736 is a gapful number since it is divisible by the number (26) 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 20009600606736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284515904640).

20009600606736 is an abundant number, since it is smaller than the sum of its proper divisors (46559431202544).

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

20009600606736 is a wasteful number, since it uses less digits than its factorization.

20009600606736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20009600606736 in words is "twenty trillion, nine billion, six hundred million, six hundred six thousand, seven hundred thirty-six".