6554544117000 has 1024 divisors, whose sum is σ = 24682940006400. Its totient is φ = 1430922240000.

The previous prime is 6554544116987. The next prime is 6554544117007. The reversal of 6554544117000 is 7114454556.

It is not an unprimeable number, because it can be changed into a prime (6554544117007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 870569236 + ... + 870576764.

It is an arithmetic number, because the mean of its divisors is an integer number (24104433600).

Almost surely, 2^{6554544117000} is an apocalyptic number.

6554544117000 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 6554544117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341470003200).

6554544117000 is an abundant number, since it is smaller than the sum of its proper divisors (18128395889400).

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

6554544117000 is a wasteful number, since it uses less digits than its factorization.

6554544117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 6554544117000 in words is "six trillion, five hundred fifty-four billion, five hundred forty-four million, one hundred seventeen thousand".