27934378560 has 672 divisors, whose sum is σ = 108936202752. Its totient is φ = 6511656960.

The previous prime is 27934378559. The next prime is 27934378603. The reversal of 27934378560 is 6587343972.

27934378560 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 4 + 3 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27934378497 and 27934378506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108693952 + ... + 108694208.

Almost surely, 2^27934378560 is an apocalyptic number.

27934378560 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 27934378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54468101376).

27934378560 is an abundant number, since it is smaller than the sum of its proper divisors (81001824192).

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

27934378560 is a wasteful number, since it uses less digits than its factorization.

27934378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27934378560 in words is "twenty-seven billion, nine hundred thirty-four million, three hundred seventy-eight thousand, five hundred sixty".