5081963041584 has 800 divisors, whose sum is σ = 18064950435840. Its totient is φ = 1358137497600.

The previous prime is 5081963041583. The next prime is 5081963041601. The reversal of 5081963041584 is 4851403691805.

It is a happy number.

5081963041584 is a `hidden beast` number, since 5 + 0 + 8 + 19 + 6 + 3 + 0 + 41 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5081963041584.

It is not an unprimeable number, because it can be changed into a prime (5081963041583) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 453862674 + ... + 453873870.

Almost surely, 2^{5081963041584} is an apocalyptic number.

5081963041584 is a gapful number since it is divisible by the number (54) 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 5081963041584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032475217920).

5081963041584 is an abundant number, since it is smaller than the sum of its proper divisors (12982987394256).

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

5081963041584 is a wasteful number, since it uses less digits than its factorization.

5081963041584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

It can be divided in two parts, 508196 and 3041584, that added together give a triangular number (3549780 = T₂₆₆₄).

The spelling of 5081963041584 in words is "five trillion, eighty-one billion, nine hundred sixty-three million, forty-one thousand, five hundred eighty-four".