27830956748112 has 640 divisors, whose sum is σ = 100167874560000. Its totient is φ = 7223280261120.

The previous prime is 27830956748087. The next prime is 27830956748129. The reversal of 27830956748112 is 21184765903872.

27830956748112 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 0 + 95 + 67 + 481 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27830956748112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122924389 + ... + 123150587.

It is an arithmetic number, because the mean of its divisors is an integer number (156512304000).

It is a 1-persistent number, because it is pandigital, but 2⋅27830956748112 = 55661913496224 is not.

Almost surely, 2^{27830956748112} 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 27830956748112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083937280000).

27830956748112 is an abundant number, since it is smaller than the sum of its proper divisors (72336917811888).

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

27830956748112 is a wasteful number, since it uses less digits than its factorization.

27830956748112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226336 (or 226324 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 27830956748112 in words is "twenty-seven trillion, eight hundred thirty billion, nine hundred fifty-six million, seven hundred forty-eight thousand, one hundred twelve".