27452468160 has 504 divisors, whose sum is σ = 106084938960. Its totient is φ = 6754295808.

The previous prime is 27452468101. The next prime is 27452468233. The reversal of 27452468160 is 6186425472.

27452468160 is a `hidden beast` number, since 2 + 7 + 4 + 524 + 68 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13140396 + ... + 13142484.

It is an arithmetic number, because the mean of its divisors is an integer number (210485990).

Almost surely, 2^27452468160 is an apocalyptic number.

27452468160 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 27452468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53042469480).

27452468160 is an abundant number, since it is smaller than the sum of its proper divisors (78632470800).

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

27452468160 is a wasteful number, since it uses less digits than its factorization.

27452468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27452468160 in words is "twenty-seven billion, four hundred fifty-two million, four hundred sixty-eight thousand, one hundred sixty".