554119117896960 has 2880 divisors, whose sum is σ = 2605209237227520. Its totient is φ = 108950912040960.

The previous prime is 554119117896943. The next prime is 554119117897001. The reversal of 554119117896960 is 69698711911455.

554119117896960 is a `hidden beast` number, since 5 + 5 + 411 + 9 + 1 + 17 + 89 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 170340950694 + ... + 170340953946.

It is an arithmetic number, because the mean of its divisors is an integer number (904586540704).

Almost surely, 2^{554119117896960} 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 554119117896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302604618613760).

554119117896960 is an abundant number, since it is smaller than the sum of its proper divisors (2051090119330560).

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

554119117896960 is a wasteful number, since it uses less digits than its factorization.

554119117896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 72.

The spelling of 554119117896960 in words is "five hundred fifty-four trillion, one hundred nineteen billion, one hundred seventeen million, eight hundred ninety-six thousand, nine hundred sixty".