82834385130 has 240 divisors, whose sum is σ = 270411140736. Its totient is φ = 17819481600.

The previous prime is 82834385071. The next prime is 82834385167. The reversal of 82834385130 is 3158343828.

82834385130 is a `hidden beast` number, since 8 + 2 + 83 + 438 + 5 + 130 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1613355 + ... + 1663905.

Almost surely, 2^82834385130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82834385130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135205570368).

82834385130 is an abundant number, since it is smaller than the sum of its proper divisors (187576755606).

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

82834385130 is a wasteful number, since it uses less digits than its factorization.

82834385130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50611 (or 50585 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82834385130 in words is "eighty-two billion, eight hundred thirty-four million, three hundred eighty-five thousand, one hundred thirty".