5120852800 has 420 divisors, whose sum is σ = 15526772096. Its totient is φ = 1659571200.

The previous prime is 5120852783. The next prime is 5120852801. The reversal of 5120852800 is 82580215.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120852801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 119089579 + ... + 119089621.

Almost surely, 2^5120852800 is an apocalyptic number.

5120852800 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 5120852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763386048).

5120852800 is an abundant number, since it is smaller than the sum of its proper divisors (10405919296).

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

5120852800 is an equidigital number, since it uses as much as digits as its factorization.

5120852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 5120852800 is about 71560.1341530324. The cubic root of 5120852800 is about 1723.6434395205.

The spelling of 5120852800 in words is "five billion, one hundred twenty million, eight hundred fifty-two thousand, eight hundred".