27689319000 has 384 divisors, whose sum is σ = 107518394880. Its totient is φ = 6295968000.

The previous prime is 27689318981. The next prime is 27689319067. The reversal of 27689319000 is 91398672.

It is a super-2 number, since 2×27689319000² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13291959 + ... + 13294041.

It is an arithmetic number, because the mean of its divisors is an integer number (279995820).

Almost surely, 2^27689319000 is an apocalyptic number.

27689319000 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 27689319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53759197440).

27689319000 is an abundant number, since it is smaller than the sum of its proper divisors (79829075880).

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

27689319000 is a wasteful number, since it uses less digits than its factorization.

27689319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 27689319000 in words is "twenty-seven billion, six hundred eighty-nine million, three hundred nineteen thousand".