5359361760 has 480 divisors, whose sum is σ = 19802724480. Its totient is φ = 1363848192.

The previous prime is 5359361743. The next prime is 5359361771. The reversal of 5359361760 is 671639535.

5359361760 is a `hidden beast` number, since 53 + 593 + 6 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32879439 + ... + 32879601.

It is an arithmetic number, because the mean of its divisors is an integer number (41255676).

Almost surely, 2^5359361760 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 5359361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901362240).

5359361760 is an abundant number, since it is smaller than the sum of its proper divisors (14443362720).

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

5359361760 is a wasteful number, since it uses less digits than its factorization.

5359361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5359361760 is about 73207.6618940941. The cubic root of 5359361760 is about 1749.9985589104.

The spelling of 5359361760 in words is "five billion, three hundred fifty-nine million, three hundred sixty-one thousand, seven hundred sixty".