27313251840 has 800 divisors, whose sum is σ = 115599458304. Its totient is φ = 6031687680.

The previous prime is 27313251827. The next prime is 27313251853. The reversal of 27313251840 is 4815231372.

27313251840 is a `hidden beast` number, since 2 + 7 + 3 + 132 + 518 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27313251827) and next prime (27313251853).

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 = 27313251795 and 27313251804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44996817 + ... + 44997423.

Almost surely, 2^27313251840 is an apocalyptic number.

27313251840 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 27313251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57799729152).

27313251840 is an abundant number, since it is smaller than the sum of its proper divisors (88286206464).

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

27313251840 is an equidigital number, since it uses as much as digits as its factorization.

27313251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27313251840 in words is "twenty-seven billion, three hundred thirteen million, two hundred fifty-one thousand, eight hundred forty".