5735525760 has 640 divisors, whose sum is σ = 21895695360. Its totient is φ = 1428295680.

The previous prime is 5735525753. The next prime is 5735525767. The reversal of 5735525760 is 675255375.

5735525760 is a `hidden beast` number, since 5 + 73 + 5 + 5 + 2 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5735525753) and next prime (5735525767).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735525767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69102679 + ... + 69102761.

It is an arithmetic number, because the mean of its divisors is an integer number (34212024).

Almost surely, 2^5735525760 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 5735525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10947847680).

5735525760 is an abundant number, since it is smaller than the sum of its proper divisors (16160169600).

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

5735525760 is a wasteful number, since it uses less digits than its factorization.

5735525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The square root of 5735525760 is about 75733.2539905688. The cubic root of 5735525760 is about 1790.0194290620.

The spelling of 5735525760 in words is "five billion, seven hundred thirty-five million, five hundred twenty-five thousand, seven hundred sixty".