27160264560 has 320 divisors, whose sum is σ = 99154653696. Its totient is φ = 6063206400.

The previous prime is 27160264471. The next prime is 27160264589. The reversal of 27160264560 is 6546206172.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21037515 + ... + 21038805.

Almost surely, 2^27160264560 is an apocalyptic number.

27160264560 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 27160264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49577326848).

27160264560 is an abundant number, since it is smaller than the sum of its proper divisors (71994389136).

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

27160264560 is a wasteful number, since it uses less digits than its factorization.

27160264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 27160264560 in words is "twenty-seven billion, one hundred sixty million, two hundred sixty-four thousand, five hundred sixty".