27414958080 has 208 divisors, whose sum is σ = 89382813120. Its totient is φ = 7171866624.

The previous prime is 27414958063. The next prime is 27414958099. The reversal of 27414958080 is 8085941472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252111 + ... + 3260529.

Almost surely, 2^27414958080 is an apocalyptic number.

27414958080 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 27414958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44691406560).

27414958080 is an abundant number, since it is smaller than the sum of its proper divisors (61967855040).

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

27414958080 is an equidigital number, since it uses as much as digits as its factorization.

27414958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 27414958080 in words is "twenty-seven billion, four hundred fourteen million, nine hundred fifty-eight thousand, eighty".