20719600312320 has 1680 divisors, whose sum is σ = 91940116815360. Its totient is φ = 4370779865088.

The previous prime is 20719600312289. The next prime is 20719600312399. The reversal of 20719600312320 is 2321300691702.

20719600312320 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 9 + 600 + 3 + 1 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3924907441 + ... + 3924912719.

Almost surely, 2^{20719600312320} is an apocalyptic number.

20719600312320 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 20719600312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45970058407680).

20719600312320 is an abundant number, since it is smaller than the sum of its proper divisors (71220516503040).

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

20719600312320 is an equidigital number, since it uses as much as digits as its factorization.

20719600312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20719600312320 in words is "twenty trillion, seven hundred nineteen billion, six hundred million, three hundred twelve thousand, three hundred twenty".