27122823000 has 1536 divisors, whose sum is σ = 125483904000. Its totient is φ = 5356108800.

The previous prime is 27122822999. The next prime is 27122823017. The reversal of 27122823000 is 32822172.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 326780959 + ... + 326781041.

It is an arithmetic number, because the mean of its divisors is an integer number (81695250).

Almost surely, 2^27122823000 is an apocalyptic number.

27122823000 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 27122823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952000).

27122823000 is an abundant number, since it is smaller than the sum of its proper divisors (98361081000).

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

27122823000 is a wasteful number, since it uses less digits than its factorization.

27122823000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 27122823000 in words is "twenty-seven billion, one hundred twenty-two million, eight hundred twenty-three thousand".