5457591260 has 144 divisors (see below), whose sum is σ = 13595698368. Its totient is φ = 1831864320.

The previous prime is 5457591241. The next prime is 5457591263. The reversal of 5457591260 is 621957545.

It is a happy number.

It is a super-2 number, since 2×5457591260² = 59570604722456775200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5457591263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2179169 + ... + 2181671.

It is an arithmetic number, because the mean of its divisors is an integer number (94414572).

Almost surely, 2^5457591260 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 5457591260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797849184).

5457591260 is an abundant number, since it is smaller than the sum of its proper divisors (8138107108).

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

5457591260 is a wasteful number, since it uses less digits than its factorization.

5457591260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The square root of 5457591260 is about 73875.5119102399. The cubic root of 5457591260 is about 1760.6255588805.

The spelling of 5457591260 in words is "five billion, four hundred fifty-seven million, five hundred ninety-one thousand, two hundred sixty".