5207811840 has 1152 divisors, whose sum is σ = 24488755200. Its totient is φ = 1015234560.

The previous prime is 5207811839. The next prime is 5207811863. The reversal of 5207811840 is 481187025.

5207811840 is a `hidden beast` number, since 520 + 7 + 81 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5207811795 and 5207811804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50561229 + ... + 50561331.

It is an arithmetic number, because the mean of its divisors is an integer number (21257600).

Almost surely, 2^5207811840 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 5207811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244377600).

5207811840 is an abundant number, since it is smaller than the sum of its proper divisors (19280943360).

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

5207811840 is a wasteful number, since it uses less digits than its factorization.

5207811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5207811840 is about 72165.1705464624. The cubic root of 5207811840 is about 1733.3453306204.

Adding to 5207811840 its reverse (481187025), we get a palindrome (5688998865).

The spelling of 5207811840 in words is "five billion, two hundred seven million, eight hundred eleven thousand, eight hundred forty".