5085453004800 has 1872 divisors, whose sum is σ = 20953967193600. Its totient is φ = 1087462440960.

The previous prime is 5085453004741. The next prime is 5085453004883. The reversal of 5085453004800 is 84003545805.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30451814317 + ... + 30451814483.

Almost surely, 2^{5085453004800} is an apocalyptic number.

5085453004800 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 5085453004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476983596800).

5085453004800 is an abundant number, since it is smaller than the sum of its proper divisors (15868514188800).

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

5085453004800 is a wasteful number, since it uses less digits than its factorization.

5085453004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 5085453004800 in words is "five trillion, eighty-five billion, four hundred fifty-three million, four thousand, eight hundred".