20313165600 has 1296 divisors, whose sum is σ = 92711691072. Its totient is φ = 4145541120.

The previous prime is 20313165577. The next prime is 20313165619. The reversal of 20313165600 is 656131302.

20313165600 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 1 + 656 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 197215149 + ... + 197215251.

Almost surely, 2^20313165600 is an apocalyptic number.

20313165600 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 20313165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46355845536).

20313165600 is an abundant number, since it is smaller than the sum of its proper divisors (72398525472).

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

20313165600 is a wasteful number, since it uses less digits than its factorization.

20313165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 20313165600 its reverse (656131302), we get a palindrome (20969296902).

The spelling of 20313165600 in words is "twenty billion, three hundred thirteen million, one hundred sixty-five thousand, six hundred".