27315074880 has 224 divisors, whose sum is σ = 101433782400. Its totient is φ = 6900609024.

The previous prime is 27315074869. The next prime is 27315074881. The reversal of 27315074880 is 8847051372.

27315074880 is a `hidden beast` number, since 27 + 3 + 1 + 507 + 48 + 80 = 666.

It is a super-2 number, since 2×27315074880² (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 not an unprimeable number, because it can be changed into a prime (27315074881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80964 + ... + 247356.

Almost surely, 2^27315074880 is an apocalyptic number.

27315074880 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 27315074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50716891200).

27315074880 is an abundant number, since it is smaller than the sum of its proper divisors (74118707520).

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

27315074880 is a wasteful number, since it uses less digits than its factorization.

27315074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166438 (or 166422 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 27315074880 in words is "twenty-seven billion, three hundred fifteen million, seventy-four thousand, eight hundred eighty".