20385167646360 has 256 divisors, whose sum is σ = 68479959859200. Its totient is φ = 4812693747200.

The previous prime is 20385167646287. The next prime is 20385167646463. The reversal of 20385167646360 is 6364676158302.

It is a self number, because there is not a number n which added to its sum of digits gives 20385167646360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7110025 + ... + 9556295.

It is an arithmetic number, because the mean of its divisors is an integer number (267499843200).

Almost surely, 2^{20385167646360} is an apocalyptic number.

20385167646360 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 20385167646360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34239979929600).

20385167646360 is an abundant number, since it is smaller than the sum of its proper divisors (48094792212840).

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

20385167646360 is a wasteful number, since it uses less digits than its factorization.

20385167646360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446462 (or 2446458 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 20385167646360 in words is "twenty trillion, three hundred eighty-five billion, one hundred sixty-seven million, six hundred forty-six thousand, three hundred sixty".