5168741760 has 1024 divisors, whose sum is σ = 23853312000. Its totient is φ = 1027178496.

The previous prime is 5168741689. The next prime is 5168741789. The reversal of 5168741760 is 671478615.

5168741760 is a `hidden beast` number, since 516 + 8 + 74 + 1 + 7 + 60 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 29877034 + ... + 29877206.

It is an arithmetic number, because the mean of its divisors is an integer number (23294250).

Almost surely, 2^5168741760 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 5168741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926656000).

5168741760 is an abundant number, since it is smaller than the sum of its proper divisors (18684570240).

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

5168741760 is a wasteful number, since it uses less digits than its factorization.

5168741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5168741760 is about 71893.9619161443. The cubic root of 5168741760 is about 1728.9998072103. Note that the first 3 decimals are identical.

The spelling of 5168741760 in words is "five billion, one hundred sixty-eight million, seven hundred forty-one thousand, seven hundred sixty".