5208053760 has 1152 divisors, whose sum is σ = 24040074240. Its totient is φ = 1051066368.

The previous prime is 5208053759. The next prime is 5208053777. The reversal of 5208053760 is 673508025.

5208053760 is a `hidden beast` number, since 520 + 80 + 53 + 7 + 6 + 0 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226437109 + ... + 226437131.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 2^5208053760 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 5208053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

5208053760 is an abundant number, since it is smaller than the sum of its proper divisors (18832020480).

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

5208053760 is a wasteful number, since it uses less digits than its factorization.

5208053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5208053760 is about 72166.8466818386. The cubic root of 5208053760 is about 1733.3721700700.

The spelling of 5208053760 in words is "five billion, two hundred eight million, fifty-three thousand, seven hundred sixty".