5086766160 has 480 divisors, whose sum is σ = 20181208320. Its totient is φ = 1124278272.

The previous prime is 5086766159. The next prime is 5086766183. The reversal of 5086766160 is 616676805.

It is a super-2 number, since 2×5086766160² = 51750379933042291200, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36595371 + ... + 36595509.

It is an arithmetic number, because the mean of its divisors is an integer number (42044184).

Almost surely, 2^5086766160 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 5086766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090604160).

5086766160 is an abundant number, since it is smaller than the sum of its proper divisors (15094442160).

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

5086766160 is a wasteful number, since it uses less digits than its factorization.

5086766160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5086766160 is about 71321.5686871791. The cubic root of 5086766160 is about 1719.8104802902.

The spelling of 5086766160 in words is "five billion, eighty-six million, seven hundred sixty-six thousand, one hundred sixty".