27798666255360 has 6336 divisors, whose sum is σ = 144200071701504. Its totient is φ = 4968677376000.

The previous prime is 27798666255359. The next prime is 27798666255397. The reversal of 27798666255360 is 6355266689772.

It is a tau number, because it is divible by the number of its divisors (6336).

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 575 ways as a sum of consecutive naturals, for example, 275234319310 + ... + 275234319410.

Almost surely, 2^{27798666255360} is an apocalyptic number.

27798666255360 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 27798666255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72100035850752).

27798666255360 is an abundant number, since it is smaller than the sum of its proper divisors (116401405446144).

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

27798666255360 is a wasteful number, since it uses less digits than its factorization.

27798666255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 27798666255360 in words is "twenty-seven trillion, seven hundred ninety-eight billion, six hundred sixty-six million, two hundred fifty-five thousand, three hundred sixty".