5201681760 has 768 divisors, whose sum is σ = 21633454080. Its totient is φ = 1153105920.

The previous prime is 5201681753. The next prime is 5201681761. The reversal of 5201681760 is 671861025.

5201681760 is a `hidden beast` number, since 520 + 1 + 68 + 1 + 76 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201681761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37968412 + ... + 37968548.

It is an arithmetic number, because the mean of its divisors is an integer number (28168560).

Almost surely, 2^5201681760 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 5201681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816727040).

5201681760 is an abundant number, since it is smaller than the sum of its proper divisors (16431772320).

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

5201681760 is a wasteful number, since it uses less digits than its factorization.

5201681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5201681760 is about 72122.6854741280. The cubic root of 5201681760 is about 1732.6649605863.

The spelling of 5201681760 in words is "five billion, two hundred one million, six hundred eighty-one thousand, seven hundred sixty".