5302105728000 has 1408 divisors, whose sum is σ = 19305841950720. Its totient is φ = 1287556300800.

The previous prime is 5302105727993. The next prime is 5302105728011. The reversal of 5302105728000 is 8275012035.

It is a super-2 number, since 2×5302105728000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32528255919 + ... + 32528256081.

Almost surely, 2^{5302105728000} is an apocalyptic number.

5302105728000 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 5302105728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652920975360).

5302105728000 is an abundant number, since it is smaller than the sum of its proper divisors (14003736222720).

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

5302105728000 is a wasteful number, since it uses less digits than its factorization.

5302105728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 5302105728000 in words is "five trillion, three hundred two billion, one hundred five million, seven hundred twenty-eight thousand".