6509111040 has 216 divisors, whose sum is σ = 23131032288. Its totient is φ = 1688739840.

The previous prime is 6509111023. The next prime is 6509111047. The reversal of 6509111040 is 401119056.

6509111040 is a `hidden beast` number, since 6 + 509 + 1 + 110 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6509110995 and 6509111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509111047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418605 + ... + 433875.

Almost surely, 2^6509111040 is an apocalyptic number.

6509111040 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 6509111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565516144).

6509111040 is an abundant number, since it is smaller than the sum of its proper divisors (16621921248).

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

6509111040 is a wasteful number, since it uses less digits than its factorization.

6509111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 6509111040 is about 80679.0619677745. The cubic root of 6509111040 is about 1867.1271471675.

The spelling of 6509111040 in words is "six billion, five hundred nine million, one hundred eleven thousand, forty".