5081509971216 has 320 divisors, whose sum is σ = 17653727232000. Its totient is φ = 1366172780544.

The previous prime is 5081509971179. The next prime is 5081509971217. The reversal of 5081509971216 is 6121799051805.

It is a happy number.

5081509971216 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 509 + 9 + 7 + 121 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5081509971217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397017585 + ... + 397030383.

It is an arithmetic number, because the mean of its divisors is an integer number (55167897600).

Almost surely, 2^{5081509971216} is an apocalyptic number.

5081509971216 is a gapful number since it is divisible by the number (56) 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 5081509971216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826863616000).

5081509971216 is an abundant number, since it is smaller than the sum of its proper divisors (12572217260784).

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

5081509971216 is a wasteful number, since it uses less digits than its factorization.

5081509971216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20563 (or 20551 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 5081509971216 in words is "five trillion, eighty-one billion, five hundred nine million, nine hundred seventy-one thousand, two hundred sixteen".