27771234111096 has 256 divisors, whose sum is σ = 87518638080000. Its totient is φ = 7160109530112.

The previous prime is 27771234111053. The next prime is 27771234111097. The reversal of 27771234111096 is 69011143217772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27771234111097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16755060 + ... + 18337788.

It is an arithmetic number, because the mean of its divisors is an integer number (341869680000).

Almost surely, 2^{27771234111096} 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 27771234111096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43759319040000).

27771234111096 is an abundant number, since it is smaller than the sum of its proper divisors (59747403968904).

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

27771234111096 is a wasteful number, since it uses less digits than its factorization.

27771234111096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583026 (or 1583022 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 27771234111096 in words is "twenty-seven trillion, seven hundred seventy-one billion, two hundred thirty-four million, one hundred eleven thousand, ninety-six".