27775546350 has 192 divisors, whose sum is σ = 74110256640. Its totient is φ = 6867097600.

The previous prime is 27775546333. The next prime is 27775546363. The reversal of 27775546350 is 5364557772.

It is a junction number, because it is equal to n+sod(n) for n = 27775546293 and 27775546302.

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, 25319002 + ... + 25320098.

It is an arithmetic number, because the mean of its divisors is an integer number (385990920).

Almost surely, 2^27775546350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27775546350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37055128320).

27775546350 is an abundant number, since it is smaller than the sum of its proper divisors (46334710290).

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

27775546350 is a wasteful number, since it uses less digits than its factorization.

27775546350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 51.

The spelling of 27775546350 in words is "twenty-seven billion, seven hundred seventy-five million, five hundred forty-six thousand, three hundred fifty".