554005980000 has 1440 divisors, whose sum is σ = 2288454360192. Its totient is φ = 130636800000.

The previous prime is 554005979981. The next prime is 554005980041. The reversal of 554005980000 is 89500455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2298779880 + ... + 2298780120.

Almost surely, 2^554005980000 is an apocalyptic number.

554005980000 is a gapful number since it is divisible by the number (50) 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 554005980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144227180096).

554005980000 is an abundant number, since it is smaller than the sum of its proper divisors (1734448380192).

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

554005980000 is a wasteful number, since it uses less digits than its factorization.

554005980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 554005980000 in words is "five hundred fifty-four billion, five million, nine hundred eighty thousand".