82771154674401 has 16 divisors (see below), whose sum is σ = 113867172437760. Its totient is φ = 53454311489280.

The previous prime is 82771154674367. The next prime is 82771154674459. The reversal of 82771154674401 is 10447645117728.

It is a de Polignac number, because none of the positive numbers 2^k-82771154674401 is a prime.

It is a super-2 number, since 2×82771154674401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82771154684401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294755160 + ... + 3294780281.

It is an arithmetic number, because the mean of its divisors is an integer number (7116698277360).

Almost surely, 2^{82771154674401} is an apocalyptic number.

It is an amenable number.

82771154674401 is a deficient number, since it is larger than the sum of its proper divisors (31096017763359).

82771154674401 is a wasteful number, since it uses less digits than its factorization.

82771154674401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589535576.

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 82771154674401 in words is "eighty-two trillion, seven hundred seventy-one billion, one hundred fifty-four million, six hundred seventy-four thousand, four hundred one".