27317083566080 has 1664 divisors, whose sum is σ = 90660640573440. Its totient is φ = 7644119040000.

The previous prime is 27317083566053. The next prime is 27317083566119. The reversal of 27317083566080 is 8066538071372.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45452717780 + ... + 45452718380.

Almost surely, 2^{27317083566080} is an apocalyptic number.

27317083566080 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 27317083566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45330320286720).

27317083566080 is an abundant number, since it is smaller than the sum of its proper divisors (63343557007360).

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

27317083566080 is a wasteful number, since it uses less digits than its factorization.

27317083566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 27317083566080 in words is "twenty-seven trillion, three hundred seventeen billion, eighty-three million, five hundred sixty-six thousand, eighty".