5258165760 has 320 divisors, whose sum is σ = 18855936000. Its totient is φ = 1388814336.

The previous prime is 5258165741. The next prime is 5258165767. The reversal of 5258165760 is 675618525.

5258165760 is a `hidden beast` number, since 5 + 2 + 581 + 6 + 5 + 7 + 60 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258165767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8777941 + ... + 8778539.

It is an arithmetic number, because the mean of its divisors is an integer number (58924800).

Almost surely, 2^5258165760 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 5258165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968000).

5258165760 is an abundant number, since it is smaller than the sum of its proper divisors (13597770240).

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

5258165760 is a wasteful number, since it uses less digits than its factorization.

5258165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5258165760 is about 72513.2109342842. The cubic root of 5258165760 is about 1738.9139477079.

It can be divided in two parts, 52581 and 65760, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 5258165760 in words is "five billion, two hundred fifty-eight million, one hundred sixty-five thousand, seven hundred sixty".