5175920000 has 320 divisors, whose sum is σ = 14052376800. Its totient is φ = 1892352000.

The previous prime is 5175919939. The next prime is 5175920003. The reversal of 5175920000 is 295715.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175920003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53359952 + ... + 53360048.

Almost surely, 2^5175920000 is an apocalyptic number.

5175920000 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 5175920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026188400).

5175920000 is an abundant number, since it is smaller than the sum of its proper divisors (8876456800).

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

5175920000 is an equidigital number, since it uses as much as digits as its factorization.

5175920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 5175920000 is about 71943.8670075497. The cubic root of 5175920000 is about 1729.7998365096.

It can be divided in two parts, 5175 and 920000, that multiplied together give a square (4761000000 = 69000²).

The spelling of 5175920000 in words is "five billion, one hundred seventy-five million, nine hundred twenty thousand".