20752315668 has 144 divisors (see below), whose sum is σ = 64316004480. Its totient is φ = 5724722304.

The previous prime is 20752315663. The next prime is 20752315669. The reversal of 20752315668 is 86651325702.

20752315668 is a `hidden beast` number, since 2 + 0 + 7 + 52 + 31 + 566 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20752315663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144730 + ... + 249902.

It is an arithmetic number, because the mean of its divisors is an integer number (446638920).

Almost surely, 2^20752315668 is an apocalyptic number.

20752315668 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 20752315668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32158002240).

20752315668 is an abundant number, since it is smaller than the sum of its proper divisors (43563688812).

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

20752315668 is a wasteful number, since it uses less digits than its factorization.

20752315668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105228 (or 105214 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20752315668 in words is "twenty billion, seven hundred fifty-two million, three hundred fifteen thousand, six hundred sixty-eight".