27661105640 has 96 divisors (see below), whose sum is σ = 72920282400. Its totient is φ = 9415486080.

The previous prime is 27661105607. The next prime is 27661105643. The reversal of 27661105640 is 4650116672.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27661105594 and 27661105603.

It is not an unprimeable number, because it can be changed into a prime (27661105643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221675 + ... + 323205.

It is an arithmetic number, because the mean of its divisors is an integer number (759586275).

Almost surely, 2^27661105640 is an apocalyptic number.

27661105640 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 27661105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36460141200).

27661105640 is an abundant number, since it is smaller than the sum of its proper divisors (45259176760).

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

27661105640 is a wasteful number, since it uses less digits than its factorization.

27661105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101695 (or 101684 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 27661105640 in words is "twenty-seven billion, six hundred sixty-one million, one hundred five thousand, six hundred forty".