554325145920 has 3024 divisors, whose sum is σ = 2698573183488. Its totient is φ = 107226685440.

The previous prime is 554325145883. The next prime is 554325145931. The reversal of 554325145920 is 29541523455.

554325145920 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 2 + 51 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17881456305 + ... + 17881456335.

It is an arithmetic number, because the mean of its divisors is an integer number (892385312).

Almost surely, 2^554325145920 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 554325145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349286591744).

554325145920 is an abundant number, since it is smaller than the sum of its proper divisors (2144248037568).

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

554325145920 is a wasteful number, since it uses less digits than its factorization.

554325145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 554325145920 in words is "five hundred fifty-four billion, three hundred twenty-five million, one hundred forty-five thousand, nine hundred twenty".