82640976500160 has 672 divisors, whose sum is σ = 311985186170112. Its totient is φ = 19954189762560.

The previous prime is 82640976500143. The next prime is 82640976500171. The reversal of 82640976500160 is 6100567904628.

82640976500160 is a `hidden beast` number, since 8 + 2 + 6 + 4 + 0 + 9 + 76 + 500 + 1 + 60 = 666.

It is a super-3 number, since 3×82640976500160³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82640976500097 and 82640976500106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838119982 + ... + 838218578.

It is an arithmetic number, because the mean of its divisors is an integer number (464263669896).

Almost surely, 2^{82640976500160} is an apocalyptic number.

82640976500160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82640976500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155992593085056).

82640976500160 is an abundant number, since it is smaller than the sum of its proper divisors (229344209669952).

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

82640976500160 is a wasteful number, since it uses less digits than its factorization.

82640976500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99061 (or 99048 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 82640976500160 in words is "eighty-two trillion, six hundred forty billion, nine hundred seventy-six million, five hundred thousand, one hundred sixty".