5210782852800 has 2016 divisors, whose sum is σ = 21833494852608. Its totient is φ = 1080457297920.

The previous prime is 5210782852799. The next prime is 5210782852801. The reversal of 5210782852800 is 82582870125.

It is an interprime number because it is at equal distance from previous prime (5210782852799) and next prime (5210782852801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5210782852800.

It is not an unprimeable number, because it can be changed into a prime (5210782852801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14198318217 + ... + 14198318583.

Almost surely, 2^{5210782852800} is an apocalyptic number.

5210782852800 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 5210782852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916747426304).

5210782852800 is an abundant number, since it is smaller than the sum of its proper divisors (16622711999808).

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

5210782852800 is a wasteful number, since it uses less digits than its factorization.

5210782852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 5210782852800 in words is "five trillion, two hundred ten billion, seven hundred eighty-two million, eight hundred fifty-two thousand, eight hundred".