27683775000 has 1008 divisors, whose sum is σ = 116806898880. Its totient is φ = 6123600000.

The previous prime is 27683774897. The next prime is 27683775013. The reversal of 27683775000 is 57738672.

27683775000 is a `hidden beast` number, since 2 + 76 + 8 + 3 + 77 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 893024985 + ... + 893025015.

It is an arithmetic number, because the mean of its divisors is an integer number (115879860).

Almost surely, 2^27683775000 is an apocalyptic number.

27683775000 is a gapful number since it is divisible by the number (20) 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 27683775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58403449440).

27683775000 is an abundant number, since it is smaller than the sum of its proper divisors (89123123880).

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

27683775000 is an frugal number, since it uses more digits than its factorization.

27683775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 27683775000 in words is "twenty-seven billion, six hundred eighty-three million, seven hundred seventy-five thousand".