5235903057000 has 1024 divisors, whose sum is σ = 21391277506560. Its totient is φ = 1033883136000.

The previous prime is 5235903056971. The next prime is 5235903057017. The reversal of 5235903057000 is 7503095325.

It is a super-3 number, since 3×5235903057000³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5235903057000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 834137862 + ... + 834144138.

It is an arithmetic number, because the mean of its divisors is an integer number (20889919440).

Almost surely, 2^{5235903057000} is an apocalyptic number.

5235903057000 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 5235903057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695638753280).

5235903057000 is an abundant number, since it is smaller than the sum of its proper divisors (16155374449560).

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

5235903057000 is a wasteful number, since it uses less digits than its factorization.

5235903057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 39.

The spelling of 5235903057000 in words is "five trillion, two hundred thirty-five billion, nine hundred three million, fifty-seven thousand".