82667728245654 has 128 divisors (see below), whose sum is σ = 194793445641600. Its totient is φ = 25897513881600.

The previous prime is 82667728245631. The next prime is 82667728245709. The reversal of 82667728245654 is 45654282776628.

82667728245654 is a `hidden beast` number, since 8 + 26 + 6 + 7 + 72 + 82 + 456 + 5 + 4 = 666.

82667728245654 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1949275602 + ... + 1949318010.

It is an arithmetic number, because the mean of its divisors is an integer number (1521823794075).

Almost surely, 2^{82667728245654} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82667728245654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97396722820800).

82667728245654 is an abundant number, since it is smaller than the sum of its proper divisors (112125717395946).

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

82667728245654 is a wasteful number, since it uses less digits than its factorization.

82667728245654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45455 (or 45449 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 82667728245654 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred twenty-eight million, two hundred forty-five thousand, six hundred fifty-four".