82667735115760 has 40 divisors (see below), whose sum is σ = 192205027823040. Its totient is φ = 33066656424192.

The previous prime is 82667735115751. The next prime is 82667735115767. The reversal of 82667735115760 is 6751153776628.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 82667735115692 and 82667735115701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82667735115767) 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, 721215 + ... + 12878494.

It is an arithmetic number, because the mean of its divisors is an integer number (4805125695576).

Almost surely, 2^{82667735115760} is an apocalyptic number.

82667735115760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82667735115760 is an abundant number, since it is smaller than the sum of its proper divisors (109537292707280).

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

82667735115760 is a wasteful number, since it uses less digits than its factorization.

82667735115760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675705 (or 13675699 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

The spelling of 82667735115760 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred thirty-five million, one hundred fifteen thousand, seven hundred sixty".