6532451044560 has 600 divisors, whose sum is σ = 26432215361640. Its totient is φ = 1490877093888.

The previous prime is 6532451044547. The next prime is 6532451044571. The reversal of 6532451044560 is 654401542356.

6532451044560 is a `hidden beast` number, since 6 + 5 + 3 + 2 + 45 + 1 + 0 + 44 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3216584858256 + 3315866186304 = 1793484^2 + 1820952^2 .

It is a super-3 number, since 3×6532451044560³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214945846 + ... + 214976234.

Almost surely, 2^{6532451044560} is an apocalyptic number.

6532451044560 is a gapful number since it is divisible by the number (60) 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 6532451044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216107680820).

6532451044560 is an abundant number, since it is smaller than the sum of its proper divisors (19899764317080).

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

6532451044560 is a wasteful number, since it uses less digits than its factorization.

6532451044560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31105 (or 31083 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 6532451044560 in words is "six trillion, five hundred thirty-two billion, four hundred fifty-one million, forty-four thousand, five hundred sixty".