5288409204800 has 84 divisors (see below), whose sum is σ = 13778250317460. Its totient is φ = 1990930513920.

The previous prime is 5288409204797. The next prime is 5288409204901. The reversal of 5288409204800 is 84029048825.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 198295652416 + 5090113552384 = 445304^2 + 2256128^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97186205 + ... + 97240604.

Almost surely, 2^{5288409204800} is an apocalyptic number.

5288409204800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5288409204800 is an abundant number, since it is smaller than the sum of its proper divisors (8489841112660).

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

5288409204800 is a wasteful number, since it uses less digits than its factorization.

5288409204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194426848 (or 194426833 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 5288409204800 in words is "five trillion, two hundred eighty-eight billion, four hundred nine million, two hundred four thousand, eight hundred".