5985008876880 has 1680 divisors, whose sum is σ = 23984349903360. Its totient is φ = 1385683200000.

The previous prime is 5985008876851. The next prime is 5985008876897. The reversal of 5985008876880 is 886788005895.

It is a happy number.

5985008876880 is a `hidden beast` number, since 59 + 8 + 500 + 8 + 8 + 7 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5985008876799 and 5985008876808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23844656755 + ... + 23844657005.

It is an arithmetic number, because the mean of its divisors is an integer number (14276398752).

Almost surely, 2^{5985008876880} 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 5985008876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992174951680).

5985008876880 is an abundant number, since it is smaller than the sum of its proper divisors (17999341026480).

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

5985008876880 is a wasteful number, since it uses less digits than its factorization.

5985008876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 72.

The spelling of 5985008876880 in words is "five trillion, nine hundred eighty-five billion, eight million, eight hundred seventy-six thousand, eight hundred eighty".