27046213886160 has 1920 divisors, whose sum is σ = 113899229982720. Its totient is φ = 5620211122176.

The previous prime is 27046213886147. The next prime is 27046213886173. The reversal of 27046213886160 is 6168831264072.

It is a happy number.

27046213886160 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 6 + 2 + 13 + 8 + 8 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27046213886147) and next prime (27046213886173).

It is a junction number, because it is equal to n+sod(n) for n = 27046213886097 and 27046213886106.

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, 24654706732 + ... + 24654707828.

It is an arithmetic number, because the mean of its divisors is an integer number (59322515616).

Almost surely, 2^{27046213886160} is an apocalyptic number.

27046213886160 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 27046213886160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56949614991360).

27046213886160 is an abundant number, since it is smaller than the sum of its proper divisors (86853016096560).

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

27046213886160 is a wasteful number, since it uses less digits than its factorization.

27046213886160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27046213886160 in words is "twenty-seven trillion, forty-six billion, two hundred thirteen million, eight hundred eighty-six thousand, one hundred sixty".