27813890993616 has 1440 divisors, whose sum is σ = 103230422830080. Its totient is φ = 6805320302592.

The previous prime is 27813890993531. The next prime is 27813890993621. The reversal of 27813890993616 is 61639909831872.

27813890993616 is a `hidden beast` number, since 27 + 81 + 3 + 89 + 0 + 99 + 361 + 6 = 666.

It is a super-2 number, since 2×27813890993616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82533801000 + ... + 82533801336.

It is an arithmetic number, because the mean of its divisors is an integer number (71687793632).

Almost surely, 2^{27813890993616} is an apocalyptic number.

27813890993616 is a gapful number since it is divisible by the number (26) 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 27813890993616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51615211415040).

27813890993616 is an abundant number, since it is smaller than the sum of its proper divisors (75416531836464).

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

27813890993616 is a wasteful number, since it uses less digits than its factorization.

27813890993616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 27813890993616 in words is "twenty-seven trillion, eight hundred thirteen billion, eight hundred ninety million, nine hundred ninety-three thousand, six hundred sixteen".