82603022261760 has 5120 divisors, whose sum is σ = 406048251248640. Its totient is φ = 15366590300160.

The previous prime is 82603022261741. The next prime is 82603022261803. The reversal of 82603022261760 is 6716222030628.

82603022261760 is a `hidden beast` number, since 8 + 2 + 6 + 0 + 3 + 0 + 2 + 22 + 617 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 477474117034 + ... + 477474117206.

It is an arithmetic number, because the mean of its divisors is an integer number (79306299072).

Almost surely, 2^{82603022261760} is an apocalyptic number.

82603022261760 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 82603022261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203024125624320).

82603022261760 is an abundant number, since it is smaller than the sum of its proper divisors (323445228986880).

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

82603022261760 is a wasteful number, since it uses less digits than its factorization.

82603022261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 82603022261760 in words is "eighty-two trillion, six hundred three billion, twenty-two million, two hundred sixty-one thousand, seven hundred sixty".