83082730151256 has 192 divisors, whose sum is σ = 236889512496000. Its totient is φ = 24079896529920.

The previous prime is 83082730151221. The next prime is 83082730151293. The reversal of 83082730151256 is 65215103728038.

It is a happy number.

It is a super-3 number, since 3×83082730151256³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83082730151199 and 83082730151208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566721440 + ... + 2566753808.

It is an arithmetic number, because the mean of its divisors is an integer number (1233799544250).

Almost surely, 2^{83082730151256} 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 83082730151256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118444756248000).

83082730151256 is an abundant number, since it is smaller than the sum of its proper divisors (153806782344744).

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

83082730151256 is a wasteful number, since it uses less digits than its factorization.

83082730151256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50814 (or 50787 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 83082730151256 in words is "eighty-three trillion, eighty-two billion, seven hundred thirty million, one hundred fifty-one thousand, two hundred fifty-six".