27313562516240 has 320 divisors, whose sum is σ = 85288288200192. Its totient is φ = 7856223436800.

The previous prime is 27313562516197. The next prime is 27313562516249. The reversal of 27313562516240 is 4261526531372.

It is a happy number.

It is a super-3 number, since 3×27313562516240³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (27313562516249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294087410 + ... + 294180270.

Almost surely, 2^{27313562516240} is an apocalyptic number.

27313562516240 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 27313562516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42644144100096).

27313562516240 is an abundant number, since it is smaller than the sum of its proper divisors (57974725683952).

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

27313562516240 is a wasteful number, since it uses less digits than its factorization.

27313562516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96578 (or 96572 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 27313562516240 in words is "twenty-seven trillion, three hundred thirteen billion, five hundred sixty-two million, five hundred sixteen thousand, two hundred forty".