553354555520 has 128 divisors (see below), whose sum is σ = 1426039156080. Its totient is φ = 204112281600.

The previous prime is 553354555519. The next prime is 553354555547. The reversal of 553354555520 is 25555453355.

It can be written as a sum of positive squares in 8 ways, for example, as 315062180416 + 238292375104 = 561304^2 + 488152^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×553354555520² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8462150 + ... + 8527290.

Almost surely, 2^553354555520 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 553354555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713019578040).

553354555520 is an abundant number, since it is smaller than the sum of its proper divisors (872684600560).

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

553354555520 is a wasteful number, since it uses less digits than its factorization.

553354555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66194 (or 66182 counting only the distinct ones).

The product of its (nonzero) digits is 5625000, while the sum is 47.

The spelling of 553354555520 in words is "five hundred fifty-three billion, three hundred fifty-four million, five hundred fifty-five thousand, five hundred twenty".