27252462160 has 240 divisors, whose sum is σ = 80507347200. Its totient is φ = 8396974080.

The previous prime is 27252462121. The next prime is 27252462169. The reversal of 27252462160 is 6126425272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27252462169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6028381 + ... + 6032899.

It is an arithmetic number, because the mean of its divisors is an integer number (335447280).

Almost surely, 2^27252462160 is an apocalyptic number.

27252462160 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 27252462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40253673600).

27252462160 is an abundant number, since it is smaller than the sum of its proper divisors (53254885040).

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

27252462160 is a wasteful number, since it uses less digits than its factorization.

27252462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 27252462160 in words is "twenty-seven billion, two hundred fifty-two million, four hundred sixty-two thousand, one hundred sixty".