5201889840 has 480 divisors, whose sum is σ = 21372024960. Its totient is φ = 1106804736.

The previous prime is 5201889827. The next prime is 5201889859. The reversal of 5201889840 is 489881025.

It is a happy number.

5201889840 is a `hidden beast` number, since 520 + 1 + 8 + 89 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9338842 + ... + 9339398.

It is an arithmetic number, because the mean of its divisors is an integer number (44525052).

Almost surely, 2^5201889840 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 5201889840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686012480).

5201889840 is an abundant number, since it is smaller than the sum of its proper divisors (16170135120).

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

5201889840 is a wasteful number, since it uses less digits than its factorization.

5201889840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5201889840 is about 72124.1280016611. The cubic root of 5201889840 is about 1732.6880638911.

The spelling of 5201889840 in words is "five billion, two hundred one million, eight hundred eighty-nine thousand, eight hundred forty".