27847456560 has 1600 divisors, whose sum is σ = 132227251200. Its totient is φ = 5364817920.

The previous prime is 27847456547. The next prime is 27847456583. The reversal of 27847456560 is 6565474872.

It is a happy number.

27847456560 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 74 + 5 + 6 + 560 = 666.

It is a super-2 number, since 2×27847456560² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27847456497 and 27847456506.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 415633647 + ... + 415633713.

It is an arithmetic number, because the mean of its divisors is an integer number (82642032).

Almost surely, 2^27847456560 is an apocalyptic number.

27847456560 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 27847456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66113625600).

27847456560 is an abundant number, since it is smaller than the sum of its proper divisors (104379794640).

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

27847456560 is a wasteful number, since it uses less digits than its factorization.

27847456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 27847456560 in words is "twenty-seven billion, eight hundred forty-seven million, four hundred fifty-six thousand, five hundred sixty".