27805697490816 has 640 divisors, whose sum is σ = 95019355791360. Its totient is φ = 7906893926400.

The previous prime is 27805697490773. The next prime is 27805697490847. The reversal of 27805697490816 is 61809479650872.

27805697490816 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 56 + 9 + 7 + 490 + 81 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19485421495 + ... + 19485422921.

It is an arithmetic number, because the mean of its divisors is an integer number (148467743424).

Almost surely, 2^{27805697490816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27805697490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47509677895680).

27805697490816 is an abundant number, since it is smaller than the sum of its proper divisors (67213658300544).

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

27805697490816 is a wasteful number, since it uses less digits than its factorization.

27805697490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 27805697490816 in words is "twenty-seven trillion, eight hundred five billion, six hundred ninety-seven million, four hundred ninety thousand, eight hundred sixteen".