27313597440 has 352 divisors, whose sum is σ = 102186240000. Its totient is φ = 6899613696.

The previous prime is 27313597391. The next prime is 27313597457. The reversal of 27313597440 is 4479531372.

27313597440 is a `hidden beast` number, since 2 + 7 + 3 + 13 + 597 + 4 + 40 = 666.

It is a super-2 number, since 2×27313597440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621361 + ... + 2631759.

Almost surely, 2^27313597440 is an apocalyptic number.

27313597440 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 27313597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093120000).

27313597440 is an abundant number, since it is smaller than the sum of its proper divisors (74872642560).

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

27313597440 is a wasteful number, since it uses less digits than its factorization.

27313597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 27313597440 in words is "twenty-seven billion, three hundred thirteen million, five hundred ninety-seven thousand, four hundred forty".