5982050880 has 560 divisors, whose sum is σ = 23529212784. Its totient is φ = 1433272320.

The previous prime is 5982050857. The next prime is 5982050911. The reversal of 5982050880 is 880502895.

5982050880 is a `hidden beast` number, since 598 + 2 + 0 + 50 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2900468736 + 3081582144 = 53856^2 + 55512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13815144 + ... + 13815576.

Almost surely, 2^5982050880 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 5982050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764606392).

5982050880 is an abundant number, since it is smaller than the sum of its proper divisors (17547161904).

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

5982050880 is a wasteful number, since it uses less digits than its factorization.

5982050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 5982050880 is about 77343.7190727211. The cubic root of 5982050880 is about 1815.3067987623.

The spelling of 5982050880 in words is "five billion, nine hundred eighty-two million, fifty thousand, eight hundred eighty".