5053263322800 has 720 divisors, whose sum is σ = 20884177938176. Its totient is φ = 1021641984000.

The previous prime is 5053263322759. The next prime is 5053263322831. The reversal of 5053263322800 is 82233623505.

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, 37539615 + ... + 37673985.

Almost surely, 2^{5053263322800} is an apocalyptic number.

5053263322800 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 5053263322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442088969088).

5053263322800 is an abundant number, since it is smaller than the sum of its proper divisors (15830914615376).

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

5053263322800 is a wasteful number, since it uses less digits than its factorization.

5053263322800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134458 (or 134436 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 5053263322800 in words is "five trillion, fifty-three billion, two hundred sixty-three million, three hundred twenty-two thousand, eight hundred".