553607212032 has 1056 divisors, whose sum is σ = 2020693593600. Its totient is φ = 148988657664.

The previous prime is 553607212031. The next prime is 553607212049. The reversal of 553607212032 is 230212706355.

553607212032 is a `hidden beast` number, since 5 + 5 + 3 + 607 + 2 + 12 + 0 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (553607212031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3396363183 + ... + 3396363345.

It is an arithmetic number, because the mean of its divisors is an integer number (1913535600).

Almost surely, 2^553607212032 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 553607212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010346796800).

553607212032 is an abundant number, since it is smaller than the sum of its proper divisors (1467086381568).

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

553607212032 is a wasteful number, since it uses less digits than its factorization.

553607212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 553607212032 its reverse (230212706355), we get a palindrome (783819918387).

The spelling of 553607212032 in words is "five hundred fifty-three billion, six hundred seven million, two hundred twelve thousand, thirty-two".