27016864560 has 720 divisors, whose sum is σ = 113204183040. Its totient is φ = 5649730560.

The previous prime is 27016864543. The next prime is 27016864577. The reversal of 27016864560 is 6546861072.

27016864560 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 6 + 86 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (27016864543) and next prime (27016864577).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56402401 + ... + 56402879.

It is an arithmetic number, because the mean of its divisors is an integer number (157228032).

Almost surely, 2^27016864560 is an apocalyptic number.

27016864560 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 27016864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56602091520).

27016864560 is an abundant number, since it is smaller than the sum of its proper divisors (86187318480).

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

27016864560 is a wasteful number, since it uses less digits than its factorization.

27016864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27016864560 in words is "twenty-seven billion, sixteen million, eight hundred sixty-four thousand, five hundred sixty".