553578818130 has 768 divisors, whose sum is σ = 1836056678400. Its totient is φ = 117438750720.

The previous prime is 553578818101. The next prime is 553578818131. The reversal of 553578818130 is 31818875355.

553578818130 is a `hidden beast` number, since 5 + 5 + 357 + 88 + 181 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (553578818131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 667766556 + ... + 667767384.

It is an arithmetic number, because the mean of its divisors is an integer number (2390698800).

Almost surely, 2^553578818130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553578818130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918028339200).

553578818130 is an abundant number, since it is smaller than the sum of its proper divisors (1282477860270).

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

553578818130 is a wasteful number, since it uses less digits than its factorization.

553578818130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 553578818130 in words is "five hundred fifty-three billion, five hundred seventy-eight million, eight hundred eighteen thousand, one hundred thirty".