20802167268960 has 768 divisors, whose sum is σ = 82610570262528. Its totient is φ = 4309956034560.

The previous prime is 20802167268931. The next prime is 20802167268989. The reversal of 20802167268960 is 6986276120802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20802167268931) and next prime (20802167268989).

It is a self number, because there is not a number n which added to its sum of digits gives 20802167268960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1578665892 + ... + 1578679068.

It is an arithmetic number, because the mean of its divisors is an integer number (107565846696).

Almost surely, 2^{20802167268960} is an apocalyptic number.

20802167268960 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 20802167268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41305285131264).

20802167268960 is an abundant number, since it is smaller than the sum of its proper divisors (61808402993568).

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

20802167268960 is a wasteful number, since it uses less digits than its factorization.

20802167268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 20802167268960 in words is "twenty trillion, eight hundred two billion, one hundred sixty-seven million, two hundred sixty-eight thousand, nine hundred sixty".