20786385605760 has 1152 divisors, whose sum is σ = 79399527480000. Its totient is φ = 4991120031744.

The previous prime is 20786385605753. The next prime is 20786385605837. The reversal of 20786385605760 is 6750658368702.

It is a happy number.

20786385605760 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 6 + 3 + 8 + 56 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14247007911 + ... + 14247009369.

Almost surely, 2^{20786385605760} is an apocalyptic number.

20786385605760 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 20786385605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39699763740000).

20786385605760 is an abundant number, since it is smaller than the sum of its proper divisors (58613141874240).

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

20786385605760 is a wasteful number, since it uses less digits than its factorization.

20786385605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 20786385605760 in words is "twenty trillion, seven hundred eighty-six billion, three hundred eighty-five million, six hundred five thousand, seven hundred sixty".