554820010240 has 144 divisors (see below), whose sum is σ = 1368017583408. Its totient is φ = 215493378048.

The previous prime is 554820010201. The next prime is 554820010309. The reversal of 554820010240 is 42010028455.

It can be written as a sum of positive squares in 8 ways, for example, as 43217420544 + 511602589696 = 207888^2 + 715264^2 .

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 15 ways as a sum of consecutive naturals, for example, 6538324 + ... + 6622636.

It is an arithmetic number, because the mean of its divisors is an integer number (9500122107).

Almost surely, 2^554820010240 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 554820010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684008791704).

554820010240 is an abundant number, since it is smaller than the sum of its proper divisors (813197573168).

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

554820010240 is an equidigital number, since it uses as much as digits as its factorization.

554820010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84484 (or 84470 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 554820010240 its reverse (42010028455), we get a palindrome (596830038695).

The spelling of 554820010240 in words is "five hundred fifty-four billion, eight hundred twenty million, ten thousand, two hundred forty".