5084617536000 has 720 divisors, whose sum is σ = 19018821701880. Its totient is φ = 1355786035200.

The previous prime is 5084617535999. The next prime is 5084617536041. The reversal of 5084617536000 is 6357164805.

5084617536000 is a `hidden beast` number, since 50 + 8 + 4 + 61 + 7 + 536 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3306171250944 + 1778446285056 = 1818288^2 + 1333584^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5084617536000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 419897946 + ... + 419910054.

Almost surely, 2^{5084617536000} is an apocalyptic number.

5084617536000 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 5084617536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509410850940).

5084617536000 is an abundant number, since it is smaller than the sum of its proper divisors (13934204165880).

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

5084617536000 is an frugal number, since it uses more digits than its factorization.

5084617536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5084617536000 in words is "five trillion, eighty-four billion, six hundred seventeen million, five hundred thirty-six thousand".