553793325840 has 240 divisors, whose sum is σ = 1969744428288. Its totient is φ = 144535891968.

The previous prime is 553793325803. The next prime is 553793325851. The reversal of 553793325840 is 48523397355.

553793325840 is a `hidden beast` number, since 5 + 53 + 7 + 9 + 3 + 3 + 2 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×553793325840³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610624 + ... + 1216736.

Almost surely, 2^553793325840 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 553793325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984872214144).

553793325840 is an abundant number, since it is smaller than the sum of its proper divisors (1415951102448).

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

553793325840 is a wasteful number, since it uses less digits than its factorization.

553793325840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606188 (or 606170 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 553793325840 in words is "five hundred fifty-three billion, seven hundred ninety-three million, three hundred twenty-five thousand, eight hundred forty".