27735206240 has 192 divisors, whose sum is σ = 80298086400. Its totient is φ = 8836079616.

The previous prime is 27735206221. The next prime is 27735206269. The reversal of 27735206240 is 4260253772.

It is a junction number, because it is equal to n+sod(n) for n = 27735206194 and 27735206203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494941 + ... + 1513379.

It is an arithmetic number, because the mean of its divisors is an integer number (418219200).

Almost surely, 2^27735206240 is an apocalyptic number.

27735206240 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 27735206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40149043200).

27735206240 is an abundant number, since it is smaller than the sum of its proper divisors (52562880160).

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

27735206240 is a wasteful number, since it uses less digits than its factorization.

27735206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18557 (or 18549 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 27735206240 in words is "twenty-seven billion, seven hundred thirty-five million, two hundred six thousand, two hundred forty".