20936508727680 has 4608 divisors, whose sum is σ = 100054411591680. Its totient is φ = 3985293312000.

The previous prime is 20936508727679. The next prime is 20936508727763. The reversal of 20936508727680 is 8672780563902.

20936508727680 is a `hidden beast` number, since 20 + 9 + 3 + 6 + 508 + 7 + 27 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 138652375605 + ... + 138652375755.

It is an arithmetic number, because the mean of its divisors is an integer number (21713196960).

Almost surely, 2^{20936508727680} is an apocalyptic number.

20936508727680 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 20936508727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50027205795840).

20936508727680 is an abundant number, since it is smaller than the sum of its proper divisors (79117902864000).

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

20936508727680 is a wasteful number, since it uses less digits than its factorization.

20936508727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 20936508727680 in words is "twenty trillion, nine hundred thirty-six billion, five hundred eight million, seven hundred twenty-seven thousand, six hundred eighty".