27017825640 has 256 divisors, whose sum is σ = 91143360000. Its totient is φ = 6361141248.

The previous prime is 27017825621. The next prime is 27017825663. The reversal of 27017825640 is 4652871072.

It is a Cunningham number, because it is equal to 164371²-1.

It is a junction number, because it is equal to n+sod(n) for n = 27017825592 and 27017825601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4928421 + ... + 4933899.

It is an arithmetic number, because the mean of its divisors is an integer number (356028750).

Almost surely, 2^27017825640 is an apocalyptic number.

27017825640 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 27017825640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571680000).

27017825640 is an abundant number, since it is smaller than the sum of its proper divisors (64125534360).

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

27017825640 is a wasteful number, since it uses less digits than its factorization.

27017825640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 27017825640 in words is "twenty-seven billion, seventeen million, eight hundred twenty-five thousand, six hundred forty".