27465104160 has 672 divisors, whose sum is σ = 106891202880. Its totient is φ = 6624405504.

The previous prime is 27465104159. The next prime is 27465104263. The reversal of 27465104160 is 6140156472.

27465104160 is a `hidden beast` number, since 2 + 7 + 46 + 510 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89462727 + ... + 89463033.

It is an arithmetic number, because the mean of its divisors is an integer number (159064290).

Almost surely, 2^27465104160 is an apocalyptic number.

27465104160 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 27465104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53445601440).

27465104160 is an abundant number, since it is smaller than the sum of its proper divisors (79426098720).

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

27465104160 is a wasteful number, since it uses less digits than its factorization.

27465104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27465104160 in words is "twenty-seven billion, four hundred sixty-five million, one hundred four thousand, one hundred sixty".