27820646111232 has 768 divisors, whose sum is σ = 93435314918400. Its totient is φ = 8115010928640.

The previous prime is 27820646111201. The next prime is 27820646111303. The reversal of 27820646111232 is 23211164602872.

27820646111232 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 0 + 6 + 4 + 611 + 1 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1868278507 + ... + 1868293397.

It is an arithmetic number, because the mean of its divisors is an integer number (121660566300).

Almost surely, 2^{27820646111232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27820646111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46717657459200).

27820646111232 is an abundant number, since it is smaller than the sum of its proper divisors (65614668807168).

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

27820646111232 is a wasteful number, since it uses less digits than its factorization.

27820646111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15071 (or 15045 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27820646111232 in words is "twenty-seven trillion, eight hundred twenty billion, six hundred forty-six million, one hundred eleven thousand, two hundred thirty-two".