82110601128 has 32 divisors (see below), whose sum is σ = 214201569600. Its totient is φ = 26180191488.

The previous prime is 82110601127. The next prime is 82110601129.

It is a happy number.

82110601128 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82110601127) and next prime (82110601129).

It is a junction number, because it is equal to n+sod(n) for n = 82110601095 and 82110601104.

It is not an unprimeable number, because it can be changed into a prime (82110601127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74374993 + ... + 74376096.

It is an arithmetic number, because the mean of its divisors is an integer number (6693799050).

Almost surely, 2^82110601128 is an apocalyptic number.

It is an amenable number.

82110601128 is an abundant number, since it is smaller than the sum of its proper divisors (132090968472).

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

82110601128 is a wasteful number, since it uses less digits than its factorization.

82110601128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148751121 (or 148751117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The spelling of 82110601128 in words is "eighty-two billion, one hundred ten million, six hundred one thousand, one hundred twenty-eight".