20802236607360 has 1536 divisors, whose sum is σ = 84120643584000. Its totient is φ = 4848946053120.

The previous prime is 20802236607349. The next prime is 20802236607389. The reversal of 20802236607360 is 6370663220802.

20802236607360 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 2 + 2 + 3 + 6 + 607 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4254903796 + ... + 4254908684.

It is an arithmetic number, because the mean of its divisors is an integer number (54766044000).

Almost surely, 2^{20802236607360} is an apocalyptic number.

20802236607360 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 20802236607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42060321792000).

20802236607360 is an abundant number, since it is smaller than the sum of its proper divisors (63318406976640).

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

20802236607360 is a wasteful number, since it uses less digits than its factorization.

20802236607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20802236607360 in words is "twenty trillion, eight hundred two billion, two hundred thirty-six million, six hundred seven thousand, three hundred sixty".