27534058816 has 224 divisors, whose sum is σ = 64888750080. Its totient is φ = 11460556800.

The previous prime is 27534058801. The next prime is 27534058831. The reversal of 27534058816 is 61885043572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27534058801) and next prime (27534058831).

It is a self number, because there is not a number n which added to its sum of digits gives 27534058816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89687335 + ... + 89687641.

It is an arithmetic number, because the mean of its divisors is an integer number (289681920).

Almost surely, 2^27534058816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27534058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32444375040).

27534058816 is an abundant number, since it is smaller than the sum of its proper divisors (37354691264).

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

27534058816 is a wasteful number, since it uses less digits than its factorization.

27534058816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 27534058816 in words is "twenty-seven billion, five hundred thirty-four million, fifty-eight thousand, eight hundred sixteen".