553033920240 has 480 divisors, whose sum is σ = 1922186972160. Its totient is φ = 142432819200.

The previous prime is 553033920239. The next prime is 553033920317. The reversal of 553033920240 is 42029330355.

553033920240 is a `hidden beast` number, since 5 + 530 + 33 + 92 + 0 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 553033920195 and 553033920204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 769170601 + ... + 769171319.

It is an arithmetic number, because the mean of its divisors is an integer number (4004556192).

Almost surely, 2^553033920240 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 553033920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961093486080).

553033920240 is an abundant number, since it is smaller than the sum of its proper divisors (1369153051920).

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

553033920240 is a wasteful number, since it uses less digits than its factorization.

553033920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 553033920240 in words is "five hundred fifty-three billion, thirty-three million, nine hundred twenty thousand, two hundred forty".