27540831052008 has 256 divisors, whose sum is σ = 78630313248000. Its totient is φ = 8928280138752.

The previous prime is 27540831051997. The next prime is 27540831052019. The reversal of 27540831052008 is 80025013804572.

27540831052008 is a `hidden beast` number, since 2 + 7 + 5 + 40 + 83 + 1 + 0 + 520 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (27540831051997) and next prime (27540831052019).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649572666 + ... + 649615062.

It is an arithmetic number, because the mean of its divisors is an integer number (307149661125).

Almost surely, 2^{27540831052008} 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 27540831052008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39315156624000).

27540831052008 is an abundant number, since it is smaller than the sum of its proper divisors (51089482195992).

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

27540831052008 is a wasteful number, since it uses less digits than its factorization.

27540831052008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42961 (or 42951 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 27540831052008 in words is "twenty-seven trillion, five hundred forty billion, eight hundred thirty-one million, fifty-two thousand, eight".