82830540000 has 480 divisors, whose sum is σ = 295728136704. Its totient is φ = 20171520000.

The previous prime is 82830539971. The next prime is 82830540029. The reversal of 82830540000 is 4503828.

It is an interprime number because it is at equal distance from previous prime (82830539971) and next prime (82830540029).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 82830540000.

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 79 ways as a sum of consecutive naturals, for example, 80339485 + ... + 80340515.

Almost surely, 2^82830540000 is an apocalyptic number.

82830540000 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 82830540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147864068352).

82830540000 is an abundant number, since it is smaller than the sum of its proper divisors (212897596704).

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

82830540000 is a wasteful number, since it uses less digits than its factorization.

82830540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 82830540000 in words is "eighty-two billion, eight hundred thirty million, five hundred forty thousand".