82667728261260 has 768 divisors, whose sum is σ = 284111002828800. Its totient is φ = 19869271031808.

The previous prime is 82667728261253. The next prime is 82667728261267. The reversal of 82667728261260 is 6216282776628.

82667728261260 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 7 + 7 + 2 + 8 + 2 + 612 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82667728261253) and next prime (82667728261267).

It is not an unprimeable number, because it can be changed into a prime (82667728261267) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6741225889 + ... + 6741238151.

It is an arithmetic number, because the mean of its divisors is an integer number (369936201600).

Almost surely, 2^{82667728261260} 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 82667728261260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142055501414400).

82667728261260 is an abundant number, since it is smaller than the sum of its proper divisors (201443274567540).

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

82667728261260 is a wasteful number, since it uses less digits than its factorization.

82667728261260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 82667728261260 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred twenty-eight million, two hundred sixty-one thousand, two hundred sixty".