27731508480 has 864 divisors, whose sum is σ = 110245314816. Its totient is φ = 6384254976.

The previous prime is 27731508449. The next prime is 27731508499. The reversal of 27731508480 is 8480513772.

27731508480 is a `hidden beast` number, since 2 + 77 + 31 + 508 + 48 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285891792 + ... + 285891888.

It is an arithmetic number, because the mean of its divisors is an integer number (127598744).

Almost surely, 2^27731508480 is an apocalyptic number.

27731508480 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 27731508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55122657408).

27731508480 is an abundant number, since it is smaller than the sum of its proper divisors (82513806336).

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

27731508480 is a wasteful number, since it uses less digits than its factorization.

27731508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

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

The spelling of 27731508480 in words is "twenty-seven billion, seven hundred thirty-one million, five hundred eight thousand, four hundred eighty".