553864362928128 has 960 divisors, whose sum is σ = 1937678935046400. Its totient is φ = 158243888259072.

The previous prime is 553864362928087. The next prime is 553864362928157. The reversal of 553864362928128 is 821829263468355.

553864362928128 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 6 + 436 + 2 + 92 + 81 + 28 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10753995625 + ... + 10754047127.

It is an arithmetic number, because the mean of its divisors is an integer number (2018415557340).

Almost surely, 2^{553864362928128} 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 553864362928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968839467523200).

553864362928128 is an abundant number, since it is smaller than the sum of its proper divisors (1383814572118272).

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

553864362928128 is an frugal number, since it uses more digits than its factorization.

553864362928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51574 (or 51515 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 553864362928128 in words is "five hundred fifty-three trillion, eight hundred sixty-four billion, three hundred sixty-two million, nine hundred twenty-eight thousand, one hundred twenty-eight".