10027275537312 has 384 divisors, whose sum is σ = 33086737232640. Its totient is φ = 2964447590400.

The previous prime is 10027275537281. The next prime is 10027275537343. The reversal of 10027275537312 is 21373557272001.

10027275537312 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 7 + 27 + 553 + 73 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10027275537281) and next prime (10027275537343).

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, 31403938 + ... + 31721630.

It is an arithmetic number, because the mean of its divisors is an integer number (86163378210).

Almost surely, 2^{10027275537312} is an apocalyptic number.

10027275537312 is a gapful number since it is divisible by the number (12) 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 10027275537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543368616320).

10027275537312 is an abundant number, since it is smaller than the sum of its proper divisors (23059461695328).

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

10027275537312 is an equidigital number, since it uses as much as digits as its factorization.

10027275537312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317776 (or 317750 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 10027275537312 in words is "ten trillion, twenty-seven billion, two hundred seventy-five million, five hundred thirty-seven thousand, three hundred twelve".