5208003028800 has 1008 divisors, whose sum is σ = 21776328100800. Its totient is φ = 1163833344000.

The previous prime is 5208003028777. The next prime is 5208003028817. The reversal of 5208003028800 is 88203008025.

5208003028800 is a `hidden beast` number, since 520 + 8 + 0 + 0 + 30 + 28 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2160099595 + ... + 2160102005.

It is an arithmetic number, because the mean of its divisors is an integer number (21603500100).

Almost surely, 2^{5208003028800} is an apocalyptic number.

5208003028800 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 5208003028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888164050400).

5208003028800 is an abundant number, since it is smaller than the sum of its proper divisors (16568325072000).

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

5208003028800 is a wasteful number, since it uses less digits than its factorization.

5208003028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 5208003028800 in words is "five trillion, two hundred eight billion, three million, twenty-eight thousand, eight hundred".