27351613440 has 448 divisors, whose sum is σ = 98849061900. Its totient is φ = 7261913088.

The previous prime is 27351613439. The next prime is 27351613469. The reversal of 27351613440 is 4431615372.

27351613440 is a `hidden beast` number, since 2 + 7 + 3 + 516 + 134 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26384154624 + 967458816 = 162432^2 + 31104^2 .

It is a super-2 number, since 2×27351613440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27351613395 and 27351613404.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119439246 + ... + 119439474.

Almost surely, 2^27351613440 is an apocalyptic number.

27351613440 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 27351613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49424530950).

27351613440 is an abundant number, since it is smaller than the sum of its proper divisors (71497448460).

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

27351613440 is an frugal number, since it uses more digits than its factorization.

27351613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27351613440 in words is "twenty-seven billion, three hundred fifty-one million, six hundred thirteen thousand, four hundred forty".