20339117568 has 720 divisors, whose sum is σ = 78593898240. Its totient is φ = 4993228800.

The previous prime is 20339117537. The next prime is 20339117633. The reversal of 20339117568 is 86571193302.

20339117568 is a `hidden beast` number, since 203 + 391 + 1 + 7 + 56 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47190313 + ... + 47190743.

It is an arithmetic number, because the mean of its divisors is an integer number (109158192).

Almost surely, 2^20339117568 is an apocalyptic number.

20339117568 is a gapful number since it is divisible by the number (28) 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 20339117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39296949120).

20339117568 is an abundant number, since it is smaller than the sum of its proper divisors (58254780672).

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

20339117568 is a wasteful number, since it uses less digits than its factorization.

20339117568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20339117568 in words is "twenty billion, three hundred thirty-nine million, one hundred seventeen thousand, five hundred sixty-eight".