5175705600000 has 1440 divisors, whose sum is σ = 20871860209200. Its totient is φ = 1274019840000.

The previous prime is 5175705599969. The next prime is 5175705600017. The reversal of 5175705600000 is 65075715.

It is a tau number, because it is divible by the number of its divisors (1440).

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 71 ways as a sum of consecutive naturals, for example, 398131199994 + ... + 398131200006.

Almost surely, 2^{5175705600000} is an apocalyptic number.

5175705600000 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 5175705600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435930104600).

5175705600000 is an abundant number, since it is smaller than the sum of its proper divisors (15696154609200).

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

5175705600000 is an frugal number, since it uses more digits than its factorization.

5175705600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 5175705600000 in words is "five trillion, one hundred seventy-five billion, seven hundred five million, six hundred thousand".