553138560 has 384 divisors, whose sum is σ = 2105157600. Its totient is φ = 133005312.

The previous prime is 553138463. The next prime is 553138561. The reversal of 553138560 is 65831355.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553138561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6214996 + ... + 6215084.

Almost surely, 2^553138560 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 553138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052578800).

553138560 is an abundant number, since it is smaller than the sum of its proper divisors (1552019040).

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

553138560 is a wasteful number, since it uses less digits than its factorization.

553138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 553138560 is about 23518.8979333641. The cubic root of 553138560 is about 820.8767936540.

The spelling of 553138560 in words is "five hundred fifty-three million, one hundred thirty-eight thousand, five hundred sixty".