20607933164160 has 256 divisors, whose sum is σ = 65959606056960. Its totient is φ = 5472722669568.

The previous prime is 20607933164153. The next prime is 20607933164179. The reversal of 20607933164160 is 6146133970602.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2233433467 + ... + 2233442693.

It is an arithmetic number, because the mean of its divisors is an integer number (257654711160).

Almost surely, 2^{20607933164160} is an apocalyptic number.

20607933164160 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 20607933164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979803028480).

20607933164160 is an abundant number, since it is smaller than the sum of its proper divisors (45351672892800).

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

20607933164160 is a wasteful number, since it uses less digits than its factorization.

20607933164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 20607933164160 in words is "twenty trillion, six hundred seven billion, nine hundred thirty-three million, one hundred sixty-four thousand, one hundred sixty".