5086917360 has 360 divisors, whose sum is σ = 20740056480. Its totient is φ = 1111993344.

The previous prime is 5086917331. The next prime is 5086917371. The reversal of 5086917360 is 637196805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 808306 + ... + 814574.

It is an arithmetic number, because the mean of its divisors is an integer number (57611268).

Almost surely, 2^5086917360 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 5086917360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370028240).

5086917360 is an abundant number, since it is smaller than the sum of its proper divisors (15653139120).

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

5086917360 is a wasteful number, since it uses less digits than its factorization.

5086917360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5086917360 is about 71322.6286672049. The cubic root of 5086917360 is about 1719.8275201121.

The spelling of 5086917360 in words is "five billion, eighty-six million, nine hundred seventeen thousand, three hundred sixty".