581018986010892 has 192 divisors, whose sum is σ = 1625306551626240. Its totient is φ = 159207547699200.

The previous prime is 581018986010891. The next prime is 581018986010909. The reversal of 581018986010892 is 298010689810185.

It is a super-2 number, since 2×581018986010892² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (581018986010891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53314459 + ... + 63280877.

It is an arithmetic number, because the mean of its divisors is an integer number (8465138289720).

Almost surely, 2^{581018986010892} is an apocalyptic number.

581018986010892 is a gapful number since it is divisible by the number (52) 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 581018986010892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812653275813120).

581018986010892 is an abundant number, since it is smaller than the sum of its proper divisors (1044287565615348).

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

581018986010892 is a wasteful number, since it uses less digits than its factorization.

581018986010892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967144 (or 9967142 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 66.

The spelling of 581018986010892 in words is "five hundred eighty-one trillion, eighteen billion, nine hundred eighty-six million, ten thousand, eight hundred ninety-two".