6005551055504 has 320 divisors, whose sum is σ = 15985808842752. Its totient is φ = 2109834086400.

The previous prime is 6005551055501. The next prime is 6005551055513. The reversal of 6005551055504 is 4055501555006.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6005551055501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407231459 + ... + 407246205.

Almost surely, 2^{6005551055504} 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 6005551055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992904421376).

6005551055504 is an abundant number, since it is smaller than the sum of its proper divisors (9980257787248).

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

6005551055504 is a wasteful number, since it uses less digits than its factorization.

6005551055504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15374 (or 15368 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 6005551055504 in words is "six trillion, five billion, five hundred fifty-one million, fifty-five thousand, five hundred four".