5982117120 has 432 divisors, whose sum is σ = 24427533312. Its totient is φ = 1322680320.

The previous prime is 5982117101. The next prime is 5982117133. The reversal of 5982117120 is 217112895.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2498644 + ... + 2501036.

It is an arithmetic number, because the mean of its divisors is an integer number (56545216).

Almost surely, 2^5982117120 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 5982117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213766656).

5982117120 is an abundant number, since it is smaller than the sum of its proper divisors (18445416192).

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

5982117120 is a wasteful number, since it uses less digits than its factorization.

5982117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 5982117120 is about 77344.1472898887. The cubic root of 5982117120 is about 1815.3134991109.

The spelling of 5982117120 in words is "five billion, nine hundred eighty-two million, one hundred seventeen thousand, one hundred twenty".