5753180160 has 780 divisors, whose sum is σ = 25053746172. Its totient is φ = 1213857792.

The previous prime is 5753180159. The next prime is 5753180177. The reversal of 5753180160 is 610813575.

5753180160 is a `hidden beast` number, since 575 + 3 + 1 + 80 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1416167424 + 4337012736 = 37632^2 + 65856^2 .

It is a tau number, because it is divible by the number of its divisors (780).

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 59 ways as a sum of consecutive naturals, for example, 442552314 + ... + 442552326.

Almost surely, 2^5753180160 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 5753180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12526873086).

5753180160 is an abundant number, since it is smaller than the sum of its proper divisors (19300566012).

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

5753180160 is an equidigital number, since it uses as much as digits as its factorization.

5753180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5753180160 is about 75849.7208959928. The cubic root of 5753180160 is about 1791.8541547971.

The spelling of 5753180160 in words is "five billion, seven hundred fifty-three million, one hundred eighty thousand, one hundred sixty".