27135417660 has 96 divisors (see below), whose sum is σ = 82175446080. Its totient is φ = 6650775552.

The previous prime is 27135417649. The next prime is 27135417691. The reversal of 27135417660 is 6671453172.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107086 + ... + 256394.

It is an arithmetic number, because the mean of its divisors is an integer number (855994230).

Almost surely, 2^27135417660 is an apocalyptic number.

27135417660 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 27135417660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41087723040).

27135417660 is an abundant number, since it is smaller than the sum of its proper divisors (55040028420).

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

27135417660 is a wasteful number, since it uses less digits than its factorization.

27135417660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149567 (or 149565 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 27135417660 in words is "twenty-seven billion, one hundred thirty-five million, four hundred seventeen thousand, six hundred sixty".