20735346867360 has 384 divisors, whose sum is σ = 68844611211264. Its totient is φ = 5235667599360.

The previous prime is 20735346867299. The next prime is 20735346867379. The reversal of 20735346867360 is 6376864353702.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 20735346867294 and 20735346867303.

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, 1784908272 + ... + 1784919888.

It is an arithmetic number, because the mean of its divisors is an integer number (179282841696).

Almost surely, 2^{20735346867360} is an apocalyptic number.

20735346867360 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 20735346867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422305605632).

20735346867360 is an abundant number, since it is smaller than the sum of its proper divisors (48109264343904).

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

20735346867360 is a wasteful number, since it uses less digits than its factorization.

20735346867360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13276 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 60.

The spelling of 20735346867360 in words is "twenty trillion, seven hundred thirty-five billion, three hundred forty-six million, eight hundred sixty-seven thousand, three hundred sixty".