27656323036320 has 576 divisors, whose sum is σ = 100356120547200. Its totient is φ = 6348290457600.

The previous prime is 27656323036297. The next prime is 27656323036369. The reversal of 27656323036320 is 2363032365672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27656323036320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5948873356 + ... + 5948878004.

It is an arithmetic number, because the mean of its divisors is an integer number (174229375950).

Almost surely, 2^{27656323036320} is an apocalyptic number.

27656323036320 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 27656323036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50178060273600).

27656323036320 is an abundant number, since it is smaller than the sum of its proper divisors (72699797510880).

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

27656323036320 is a wasteful number, since it uses less digits than its factorization.

27656323036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 48.

The spelling of 27656323036320 in words is "twenty-seven trillion, six hundred fifty-six billion, three hundred twenty-three million, thirty-six thousand, three hundred twenty".