20312716032 has 576 divisors, whose sum is σ = 71441233920. Its totient is φ = 5643509760.

The previous prime is 20312716027. The next prime is 20312716051. The reversal of 20312716032 is 23061721302.

20312716032 is a `hidden beast` number, since 2 + 0 + 31 + 27 + 1 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20312715987 and 20312716005.

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 63 ways as a sum of consecutive naturals, for example, 278256348 + ... + 278256420.

It is an arithmetic number, because the mean of its divisors is an integer number (124029920).

Almost surely, 2^20312716032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35720616960).

20312716032 is an abundant number, since it is smaller than the sum of its proper divisors (51128517888).

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

20312716032 is an frugal number, since it uses more digits than its factorization.

20312716032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 20312716032 in words is "twenty billion, three hundred twelve million, seven hundred sixteen thousand, thirty-two".