5259671040 has 320 divisors, whose sum is σ = 18286329600. Its totient is φ = 1281982464.

The previous prime is 5259671009. The next prime is 5259671041. The reversal of 5259671040 is 401769525.

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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5259671040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259671041) 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, 13877571 + ... + 13877949.

It is an arithmetic number, because the mean of its divisors is an integer number (57144780).

Almost surely, 2^5259671040 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 5259671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143164800).

5259671040 is an abundant number, since it is smaller than the sum of its proper divisors (13026658560).

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

5259671040 is a wasteful number, since it uses less digits than its factorization.

5259671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5259671040 is about 72523.5895416105. The cubic root of 5259671040 is about 1739.0798675848.

The spelling of 5259671040 in words is "five billion, two hundred fifty-nine million, six hundred seventy-one thousand, forty".