27861562106680 has 128 divisors (see below), whose sum is σ = 68681226456000. Its totient is φ = 10124959703040.

The previous prime is 27861562106671. The next prime is 27861562106743. The reversal of 27861562106680 is 8660126516872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

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 31 ways as a sum of consecutive naturals, for example, 83861131 + ... + 84192709.

Almost surely, 2^{27861562106680} is an apocalyptic number.

27861562106680 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 27861562106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34340613228000).

27861562106680 is an abundant number, since it is smaller than the sum of its proper divisors (40819664349320).

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

27861562106680 is a wasteful number, since it uses less digits than its factorization.

27861562106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335897 (or 335893 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 27861562106680 in words is "twenty-seven trillion, eight hundred sixty-one billion, five hundred sixty-two million, one hundred six thousand, six hundred eighty".