5982914508480 has 1344 divisors, whose sum is σ = 27408467294208. Its totient is φ = 1207412490240.

The previous prime is 5982914508449. The next prime is 5982914508499. The reversal of 5982914508480 is 848054192895.

5982914508480 is a `hidden beast` number, since 5 + 9 + 8 + 2 + 9 + 145 + 0 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 162733300 + ... + 162770060.

It is an arithmetic number, because the mean of its divisors is an integer number (20393204832).

Almost surely, 2^{5982914508480} 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 5982914508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704233647104).

5982914508480 is an abundant number, since it is smaller than the sum of its proper divisors (21425552785728).

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

5982914508480 is a wasteful number, since it uses less digits than its factorization.

5982914508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36836 (or 36814 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 5982914508480 in words is "five trillion, nine hundred eighty-two billion, nine hundred fourteen million, five hundred eight thousand, four hundred eighty".