27077622337000 has 128 divisors (see below), whose sum is σ = 64084177572480. Its totient is φ = 10707950400000.

The previous prime is 27077622336937. The next prime is 27077622337019. The reversal of 27077622337000 is 73322677072.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 52279300 + ... + 52794700.

It is an arithmetic number, because the mean of its divisors is an integer number (500657637285).

Almost surely, 2^{27077622337000} is an apocalyptic number.

27077622337000 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 27077622337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32042088786240).

27077622337000 is an abundant number, since it is smaller than the sum of its proper divisors (37006555235480).

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

27077622337000 is a wasteful number, since it uses less digits than its factorization.

27077622337000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516020 (or 516006 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 46.

The spelling of 27077622337000 in words is "twenty-seven trillion, seventy-seven billion, six hundred twenty-two million, three hundred thirty-seven thousand".