27806431667700 has 1440 divisors, whose sum is σ = 104638662696960. Its totient is φ = 5677393075200.

The previous prime is 27806431667683. The next prime is 27806431667711. The reversal of 27806431667700 is 776613460872.

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 479 ways as a sum of consecutive naturals, for example, 14893642167 + ... + 14893644033.

It is an arithmetic number, because the mean of its divisors is an integer number (72665737984).

Almost surely, 2^{27806431667700} is an apocalyptic number.

27806431667700 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 27806431667700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52319331348480).

27806431667700 is an abundant number, since it is smaller than the sum of its proper divisors (76832231029260).

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

27806431667700 is a wasteful number, since it uses less digits than its factorization.

27806431667700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 27806431667700 in words is "twenty-seven trillion, eight hundred six billion, four hundred thirty-one million, six hundred sixty-seven thousand, seven hundred".