5459641000 has 96 divisors (see below), whose sum is σ = 14042868840. Its totient is φ = 1985280000.

The previous prime is 5459640961. The next prime is 5459641073. The reversal of 5459641000 is 1469545.

It can be written as a sum of positive squares in 4 ways, for example, as 406990276 + 5052650724 = 20174^2 + 71082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98440 + ... + 143560.

Almost surely, 2^5459641000 is an apocalyptic number.

5459641000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5459641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021434420).

5459641000 is an abundant number, since it is smaller than the sum of its proper divisors (8583227840).

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

5459641000 is a wasteful number, since it uses less digits than its factorization.

5459641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45164 (or 45139 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 5459641000 is about 73889.3835405331. The cubic root of 5459641000 is about 1760.8459474952.

The spelling of 5459641000 in words is "five billion, four hundred fifty-nine million, six hundred forty-one thousand".