27315528240 has 960 divisors, whose sum is σ = 119122375680. Its totient is φ = 5086126080.

The previous prime is 27315528223. The next prime is 27315528259. The reversal of 27315528240 is 4282551372.

It is a super-4 number, since 4×27315528240⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62221941 + ... + 62222379.

It is an arithmetic number, because the mean of its divisors is an integer number (124085808).

Almost surely, 2^27315528240 is an apocalyptic number.

27315528240 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 27315528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59561187840).

27315528240 is an abundant number, since it is smaller than the sum of its proper divisors (91806847440).

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

27315528240 is a wasteful number, since it uses less digits than its factorization.

27315528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

It can be divided in two parts, 27315 and 528240, that added together give a palindrome (555555).

The spelling of 27315528240 in words is "twenty-seven billion, three hundred fifteen million, five hundred twenty-eight thousand, two hundred forty".