5129256960 has 300 divisors, whose sum is σ = 18412563708. Its totient is φ = 1366032384.

The previous prime is 5129256953. The next prime is 5129256997. The reversal of 5129256960 is 696529215.

It is a happy number.

5129256960 is a `hidden beast` number, since 5 + 1 + 29 + 2 + 569 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 4161798144 = 31104^2 + 64512^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635134 + ... + 6635906.

Almost surely, 2^5129256960 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 5129256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206281854).

5129256960 is an abundant number, since it is smaller than the sum of its proper divisors (13283306748).

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

5129256960 is an frugal number, since it uses more digits than its factorization.

5129256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5129256960 is about 71618.8310432389. The cubic root of 5129256960 is about 1724.5858514273.

The spelling of 5129256960 in words is "five billion, one hundred twenty-nine million, two hundred fifty-six thousand, nine hundred sixty".