581151980232000 has 1344 divisors, whose sum is σ = 2319153444691200. Its totient is φ = 142080334848000.

The previous prime is 581151980231989. The next prime is 581151980232001. The reversal of 581151980232000 is 232089151185.

581151980232000 is a `hidden beast` number, since 5 + 8 + 11 + 519 + 80 + 23 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581151980232001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3943870324 + ... + 3944017676.

Almost surely, 2^{581151980232000} is an apocalyptic number.

581151980232000 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 581151980232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159576722345600).

581151980232000 is an abundant number, since it is smaller than the sum of its proper divisors (1738001464459200).

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

581151980232000 is a wasteful number, since it uses less digits than its factorization.

581151980232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147470 (or 147413 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 581151980232000 in words is "five hundred eighty-one trillion, one hundred fifty-one billion, nine hundred eighty million, two hundred thirty-two thousand".