27425853758016 has 3360 divisors, whose sum is σ = 109388613734400. Its totient is φ = 6775033466880.

The previous prime is 27425853757969. The next prime is 27425853758021. The reversal of 27425853758016 is 61085735852472.

27425853758016 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 5 + 8 + 5 + 37 + 580 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 637810552491 + ... + 637810552533.

It is an arithmetic number, because the mean of its divisors is an integer number (32556135040).

Almost surely, 2^{27425853758016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27425853758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54694306867200).

27425853758016 is an abundant number, since it is smaller than the sum of its proper divisors (81962759976384).

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

27425853758016 is an equidigital number, since it uses as much as digits as its factorization.

27425853758016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 27425853758016 in words is "twenty-seven trillion, four hundred twenty-five billion, eight hundred fifty-three million, seven hundred fifty-eight thousand, sixteen".