20306267315712 has 1440 divisors, whose sum is σ = 74035899970560. Its totient is φ = 5473577410560.

The previous prime is 20306267315699. The next prime is 20306267315731. The reversal of 20306267315712 is 21751376260302.

20306267315712 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 6 + 2 + 6 + 73 + 1 + 571 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38826514683 + ... + 38826515205.

It is an arithmetic number, because the mean of its divisors is an integer number (51413819424).

Almost surely, 2^{20306267315712} 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 20306267315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37017949985280).

20306267315712 is an abundant number, since it is smaller than the sum of its proper divisors (53729632654848).

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

20306267315712 is an equidigital number, since it uses as much as digits as its factorization.

20306267315712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 20306267315712 in words is "twenty trillion, three hundred six billion, two hundred sixty-seven million, three hundred fifteen thousand, seven hundred twelve".