5201644000 has 144 divisors (see below), whose sum is σ = 14867601840. Its totient is φ = 1783353600.

The previous prime is 5201643949. The next prime is 5201644009. The reversal of 5201644000 is 4461025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201644009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182731 + ... + 209269.

It is an arithmetic number, because the mean of its divisors is an integer number (103247235).

Almost surely, 2^5201644000 is an apocalyptic number.

5201644000 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 5201644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433800920).

5201644000 is an abundant number, since it is smaller than the sum of its proper divisors (9665957840).

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

5201644000 is a wasteful number, since it uses less digits than its factorization.

5201644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26578 (or 26553 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5201644000 is about 72122.4236974881. The cubic root of 5201644000 is about 1732.6607679943.

The spelling of 5201644000 in words is "five billion, two hundred one million, six hundred forty-four thousand".