27561291110496 has 1728 divisors, whose sum is σ = 98720975808000. Its totient is φ = 7556222868480.

The previous prime is 27561291110453. The next prime is 27561291110497. The reversal of 27561291110496 is 69401119216572.

27561291110496 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 129 + 11 + 10 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27561291110497) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 138498950205 + ... + 138498950403.

Almost surely, 2^{27561291110496} is an apocalyptic number.

27561291110496 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 27561291110496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49360487904000).

27561291110496 is an abundant number, since it is smaller than the sum of its proper divisors (71159684697504).

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

27561291110496 is a wasteful number, since it uses less digits than its factorization.

27561291110496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 27561291110496 in words is "twenty-seven trillion, five hundred sixty-one billion, two hundred ninety-one million, one hundred ten thousand, four hundred ninety-six".