27660069518460 has 144 divisors (see below), whose sum is σ = 79003570133376. Its totient is φ = 7229750709888.

The previous prime is 27660069518441. The next prime is 27660069518483. The reversal of 27660069518460 is 6481596006672.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27660069518394 and 27660069518403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80150239 + ... + 80494601.

It is an arithmetic number, because the mean of its divisors is an integer number (548635903704).

Almost surely, 2^{27660069518460} is an apocalyptic number.

27660069518460 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 27660069518460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39501785066688).

27660069518460 is an abundant number, since it is smaller than the sum of its proper divisors (51343500614916).

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

27660069518460 is a wasteful number, since it uses less digits than its factorization.

27660069518460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344712 (or 344583 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 27660069518460 in words is "twenty-seven trillion, six hundred sixty billion, sixty-nine million, five hundred eighteen thousand, four hundred sixty".