20727006873381 has 48 divisors (see below), whose sum is σ = 32002244951040. Its totient is φ = 12888451429920.

The previous prime is 20727006873373. The next prime is 20727006873389. The reversal of 20727006873381 is 18337860072702.

It is a happy number.

20727006873381 is a `hidden beast` number, since 2 + 0 + 72 + 70 + 0 + 68 + 73 + 381 = 666.

It is an interprime number because it is at equal distance from previous prime (20727006873373) and next prime (20727006873389).

It is not a de Polignac number, because 20727006873381 - 2³ = 20727006873373 is a prime.

It is a super-2 number, since 2×20727006873381² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20727006873389) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20952586 + ... + 21919508.

It is an arithmetic number, because the mean of its divisors is an integer number (666713436480).

Almost surely, 2^{20727006873381} is an apocalyptic number.

It is an amenable number.

20727006873381 is a deficient number, since it is larger than the sum of its proper divisors (11275238077659).

20727006873381 is a wasteful number, since it uses less digits than its factorization.

20727006873381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968886 (or 968883 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

It can be divided in two parts, 2072700 and 6873381, that added together give a square (8946081 = 2991²).

The spelling of 20727006873381 in words is "twenty trillion, seven hundred twenty-seven billion, six million, eight hundred seventy-three thousand, three hundred eighty-one".