5086368000 has 864 divisors, whose sum is σ = 22218443520. Its totient is φ = 1122508800.

The previous prime is 5086367977. The next prime is 5086368011. The reversal of 5086368000 is 8636805.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5086368000² = 51742278862848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 175391986 + ... + 175392014.

Almost surely, 2^5086368000 is an apocalyptic number.

5086368000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109221760).

5086368000 is an abundant number, since it is smaller than the sum of its proper divisors (17132075520).

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

5086368000 is an equidigital number, since it uses as much as digits as its factorization.

5086368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5086368000 is about 71318.7773310788. Note that the first 3 decimals coincide. The cubic root of 5086368000 is about 1719.7656071438.

It can be divided in two parts, 508636 and 8000, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 5086368000 in words is "five billion, eighty-six million, three hundred sixty-eight thousand".