6581120000 has 440 divisors, whose sum is σ = 20412290976. Its totient is φ = 2064384000.

The previous prime is 6581119997. The next prime is 6581120009. The reversal of 6581120000 is 211856.

It is a super-2 number, since 2×6581120000² = 86622280908800000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6581120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58239944 + ... + 58240056.

Almost surely, 2^6581120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6581120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206145488).

6581120000 is an abundant number, since it is smaller than the sum of its proper divisors (13831170976).

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

6581120000 is a wasteful number, since it uses less digits than its factorization.

6581120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 6581120000 is about 81124.1024603662. The cubic root of 6581120000 is about 1873.9871270197.

Adding to 6581120000 its reverse (211856), we get a palindrome (6581331856).

The spelling of 6581120000 in words is "six billion, five hundred eighty-one million, one hundred twenty thousand".