5181516223290 has 288 divisors, whose sum is σ = 15341454535680. Its totient is φ = 1249515331200.

The previous prime is 5181516223277. The next prime is 5181516223297. The reversal of 5181516223290 is 923226151815.

5181516223290 is a `hidden beast` number, since 5 + 1 + 8 + 15 + 1 + 622 + 3 + 2 + 9 + 0 = 666.

It is a super-2 number, since 2×5181516223290² (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 not an unprimeable number, because it can be changed into a prime (5181516223297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137827816 + ... + 137865404.

It is an arithmetic number, because the mean of its divisors is an integer number (53268939360).

Almost surely, 2^{5181516223290} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181516223290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670727267840).

5181516223290 is an abundant number, since it is smaller than the sum of its proper divisors (10159938312390).

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

5181516223290 is a wasteful number, since it uses less digits than its factorization.

5181516223290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37822 (or 37801 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5181516223290 in words is "five trillion, one hundred eighty-one billion, five hundred sixteen million, two hundred twenty-three thousand, two hundred ninety".