553125888 has 192 divisors, whose sum is σ = 1873872000. Its totient is φ = 157925376.

The previous prime is 553125887. The next prime is 553125893. The reversal of 553125888 is 888521355.

553125888 is a `hidden beast` number, since 5 + 53 + 12 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (553125883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386358 + ... + 387786.

It is an arithmetic number, because the mean of its divisors is an integer number (9759750).

Almost surely, 2^553125888 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 553125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936936000).

553125888 is an abundant number, since it is smaller than the sum of its proper divisors (1320746112).

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

553125888 is a wasteful number, since it uses less digits than its factorization.

553125888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1441 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 553125888 is about 23518.6285314429. The cubic root of 553125888 is about 820.8705250437.

The spelling of 553125888 in words is "five hundred fifty-three million, one hundred twenty-five thousand, eight hundred eighty-eight".