550734284298240 has 2304 divisors, whose sum is σ = 2320322868864000. Its totient is φ = 125069205897216.

The previous prime is 550734284298181. The next prime is 550734284298287. The reversal of 550734284298240 is 42892482437055.

550734284298240 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 342 + 8 + 42 + 9 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178867905021 + ... + 178867908099.

It is an arithmetic number, because the mean of its divisors is an integer number (1007084578500).

Almost surely, 2^{550734284298240} 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 550734284298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160161434432000).

550734284298240 is an abundant number, since it is smaller than the sum of its proper divisors (1769588584565760).

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

550734284298240 is an equidigital number, since it uses as much as digits as its factorization.

550734284298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 550734284298240 in words is "five hundred fifty trillion, seven hundred thirty-four billion, two hundred eighty-four million, two hundred ninety-eight thousand, two hundred forty".