5180165760 has 512 divisors, whose sum is σ = 21164820480. Its totient is φ = 1046200320.

The previous prime is 5180165747. The next prime is 5180165779. The reversal of 5180165760 is 675610815.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5469607 + ... + 5470553.

It is an arithmetic number, because the mean of its divisors is an integer number (41337540).

Almost surely, 2^5180165760 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 5180165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582410240).

5180165760 is an abundant number, since it is smaller than the sum of its proper divisors (15984654720).

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

5180165760 is a wasteful number, since it uses less digits than its factorization.

5180165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 5180165760 is about 71973.3684080438. The cubic root of 5180165760 is about 1730.2726869214.

It can be divided in two parts, 518016 and 5760, that added together give a triangular number (523776 = T₁₀₂₃).

The spelling of 5180165760 in words is "five billion, one hundred eighty million, one hundred sixty-five thousand, seven hundred sixty".