27661329311616 has 3584 divisors, whose sum is σ = 117807987548160. Its totient is φ = 6234734592000.

The previous prime is 27661329311573. The next prime is 27661329311641. The reversal of 27661329311616 is 61611392316672.

27661329311616 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 1 + 3 + 2 + 9 + 3 + 11 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 118718151436 + ... + 118718151668.

It is an arithmetic number, because the mean of its divisors is an integer number (32870532240).

Almost surely, 2^{27661329311616} is an apocalyptic number.

27661329311616 is a gapful number since it is divisible by the number (26) 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 27661329311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58903993774080).

27661329311616 is an abundant number, since it is smaller than the sum of its proper divisors (90146658236544).

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

27661329311616 is a wasteful number, since it uses less digits than its factorization.

27661329311616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 27661329311616 in words is "twenty-seven trillion, six hundred sixty-one billion, three hundred twenty-nine million, three hundred eleven thousand, six hundred sixteen".