27951892234830 has 192 divisors, whose sum is σ = 78482764721088. Its totient is φ = 6875903324160.

The previous prime is 27951892234807. The next prime is 27951892234913. The reversal of 27951892234830 is 3843229815972.

27951892234830 is a `hidden beast` number, since 2 + 7 + 9 + 51 + 89 + 2 + 23 + 483 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78560892 + ... + 78915888.

It is an arithmetic number, because the mean of its divisors is an integer number (408764399589).

Almost surely, 2^{27951892234830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27951892234830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39241382360544).

27951892234830 is an abundant number, since it is smaller than the sum of its proper divisors (50530872486258).

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

27951892234830 is a wasteful number, since it uses less digits than its factorization.

27951892234830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356051 (or 356048 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 27951892234830 in words is "twenty-seven trillion, nine hundred fifty-one billion, eight hundred ninety-two million, two hundred thirty-four thousand, eight hundred thirty".