5257575760 has 80 divisors (see below), whose sum is σ = 12521520000. Its totient is φ = 2052407808.

The previous prime is 5257575749. The next prime is 5257575761. The reversal of 5257575760 is 675757525.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257575761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579741 + ... + 588739.

It is an arithmetic number, because the mean of its divisors is an integer number (156519000).

Almost surely, 2^5257575760 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 5257575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260760000).

5257575760 is an abundant number, since it is smaller than the sum of its proper divisors (7263944240).

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

5257575760 is a wasteful number, since it uses less digits than its factorization.

5257575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9188 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 2572500, while the sum is 49.

The square root of 5257575760 is about 72509.1425959513. The cubic root of 5257575760 is about 1738.8489061673.

The spelling of 5257575760 in words is "five billion, two hundred fifty-seven million, five hundred seventy-five thousand, seven hundred sixty".