5085104313600 has 1296 divisors, whose sum is σ = 19539133915392. Its totient is φ = 1307622113280.

The previous prime is 5085104313599. The next prime is 5085104313649. The reversal of 5085104313600 is 63134015805.

5085104313600 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 1 + 0 + 43 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5335890724 + ... + 5335891676.

Almost surely, 2^{5085104313600} is an apocalyptic number.

5085104313600 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 5085104313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769566957696).

5085104313600 is an abundant number, since it is smaller than the sum of its proper divisors (14454029601792).

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

5085104313600 is an equidigital number, since it uses as much as digits as its factorization.

5085104313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5085104313600 in words is "five trillion, eighty-five billion, one hundred four million, three hundred thirteen thousand, six hundred".