5985052800 has 192 divisors, whose sum is σ = 19872537600. Its totient is φ = 1583124480.

The previous prime is 5985052783. The next prime is 5985052817. The reversal of 5985052800 is 82505895.

It is an interprime number because it is at equal distance from previous prime (5985052783) and next prime (5985052817).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216746 + ... + 1221654.

It is an arithmetic number, because the mean of its divisors is an integer number (103502800).

Almost surely, 2^5985052800 is an apocalyptic number.

5985052800 is a gapful number since it is divisible by the number (50) 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 5985052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936268800).

5985052800 is an abundant number, since it is smaller than the sum of its proper divisors (13887484800).

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

5985052800 is a wasteful number, since it uses less digits than its factorization.

5985052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 5985052800 is about 77363.1229979762. The cubic root of 5985052800 is about 1815.6104011335.

The spelling of 5985052800 in words is "five billion, nine hundred eighty-five million, fifty-two thousand, eight hundred".