27975717085680 has 1920 divisors, whose sum is σ = 124736636344320. Its totient is φ = 5669846138880.

The previous prime is 27975717085661. The next prime is 27975717085709. The reversal of 27975717085680 is 8658071757972.

It is a happy number.

27975717085680 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 57 + 1 + 7 + 0 + 8 + 568 + 0 = 666.

It is a super-2 number, since 2×27975717085680² (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 junction number, because it is equal to n+sod(n) for n = 27975717085599 and 27975717085608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4640188906 + ... + 4640194934.

It is an arithmetic number, because the mean of its divisors is an integer number (64966998096).

Almost surely, 2^{27975717085680} is an apocalyptic number.

27975717085680 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 27975717085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62368318172160).

27975717085680 is an abundant number, since it is smaller than the sum of its proper divisors (96760919258640).

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

27975717085680 is a wasteful number, since it uses less digits than its factorization.

27975717085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 414892800, while the sum is 72.

The spelling of 27975717085680 in words is "twenty-seven trillion, nine hundred seventy-five billion, seven hundred seventeen million, eighty-five thousand, six hundred eighty".