5085348697600 has 240 divisors, whose sum is σ = 12923712204480. Its totient is φ = 1982002176000.

The previous prime is 5085348697591. The next prime is 5085348697651. The reversal of 5085348697600 is 67968435805.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 230606575 + ... + 230628625.

It is an arithmetic number, because the mean of its divisors is an integer number (53848800852).

Almost surely, 2^{5085348697600} is an apocalyptic number.

5085348697600 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 5085348697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461856102240).

5085348697600 is an abundant number, since it is smaller than the sum of its proper divisors (7838363506880).

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

5085348697600 is a wasteful number, since it uses less digits than its factorization.

5085348697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22541 (or 22520 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 5085348697600 in words is "five trillion, eighty-five billion, three hundred forty-eight million, six hundred ninety-seven thousand, six hundred".