27979236000 has 768 divisors, whose sum is σ = 107633111040. Its totient is φ = 7050240000.

The previous prime is 27979235959. The next prime is 27979236013. The reversal of 27979236000 is 63297972.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204227932 + ... + 204228068.

It is an arithmetic number, because the mean of its divisors is an integer number (140147280).

Almost surely, 2^27979236000 is an apocalyptic number.

27979236000 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 27979236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53816555520).

27979236000 is an abundant number, since it is smaller than the sum of its proper divisors (79653875040).

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

27979236000 is a wasteful number, since it uses less digits than its factorization.

27979236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 27979236000 in words is "twenty-seven billion, nine hundred seventy-nine million, two hundred thirty-six thousand".