5175705600 has 612 divisors, whose sum is σ = 20706072296. Its totient is φ = 1274019840.

The previous prime is 5175705581. The next prime is 5175705611. The reversal of 5175705600 is 65075715.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398131194 + ... + 398131206.

Almost surely, 2^5175705600 is an apocalyptic number.

5175705600 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 5175705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10353036148).

5175705600 is an abundant number, since it is smaller than the sum of its proper divisors (15530366696).

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

5175705600 is an frugal number, since it uses more digits than its factorization.

5175705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

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

The square root of 5175705600 is about 71942.3769415495. The cubic root of 5175705600 is about 1729.7759519180.

The spelling of 5175705600 in words is "five billion, one hundred seventy-five million, seven hundred five thousand, six hundred".