5175607360 has 336 divisors, whose sum is σ = 16082394048. Its totient is φ = 1567641600.

The previous prime is 5175607321. The next prime is 5175607399. The reversal of 5175607360 is 637065715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5175607321) and next prime (5175607399).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6381355 + ... + 6382165.

It is an arithmetic number, because the mean of its divisors is an integer number (47864268).

Almost surely, 2^5175607360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041197024).

5175607360 is an abundant number, since it is smaller than the sum of its proper divisors (10906786688).

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

5175607360 is a wasteful number, since it uses less digits than its factorization.

5175607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 5175607360 is about 71941.6941696538. The cubic root of 5175607360 is about 1729.7650075639.

The spelling of 5175607360 in words is "five billion, one hundred seventy-five million, six hundred seven thousand, three hundred sixty".