27494026560 has 2016 divisors, whose sum is σ = 139387234560. Its totient is φ = 4963368960.

The previous prime is 27494026559. The next prime is 27494026579. The reversal of 27494026560 is 6562049472.

27494026560 is a `hidden beast` number, since 2 + 7 + 49 + 40 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1617295672 + ... + 1617295688.

Almost surely, 2^27494026560 is an apocalyptic number.

27494026560 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 27494026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69693617280).

27494026560 is an abundant number, since it is smaller than the sum of its proper divisors (111893208000).

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

27494026560 is a wasteful number, since it uses less digits than its factorization.

27494026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27494026560 in words is "twenty-seven billion, four hundred ninety-four million, twenty-six thousand, five hundred sixty".