82083789060 has 576 divisors, whose sum is σ = 305593440768. Its totient is φ = 15975235584.

The previous prime is 82083789049. The next prime is 82083789071. The reversal of 82083789060 is 6098738028.

It is an interprime number because it is at equal distance from previous prime (82083789049) and next prime (82083789071).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 82083788994 and 82083789012.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416668882 + ... + 416669078.

It is an arithmetic number, because the mean of its divisors is an integer number (530544168).

Almost surely, 2^82083789060 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 82083789060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152796720384).

82083789060 is an abundant number, since it is smaller than the sum of its proper divisors (223509651708).

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

82083789060 is a wasteful number, since it uses less digits than its factorization.

82083789060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 82083789060 in words is "eighty-two billion, eighty-three million, seven hundred eighty-nine thousand, sixty".