6557517120 has 1344 divisors, whose sum is σ = 30021580800. Its totient is φ = 1192181760.

The previous prime is 6557517077. The next prime is 6557517137. The reversal of 6557517120 is 217157556.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226121266 + ... + 226121294.

Almost surely, 2^6557517120 is an apocalyptic number.

6557517120 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 6557517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010790400).

6557517120 is an abundant number, since it is smaller than the sum of its proper divisors (23464063680).

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

6557517120 is a wasteful number, since it uses less digits than its factorization.

6557517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The square root of 6557517120 is about 80978.4978867847. The cubic root of 6557517120 is about 1871.7441209177.

The spelling of 6557517120 in words is "six billion, five hundred fifty-seven million, five hundred seventeen thousand, one hundred twenty".