553006831104 has 720 divisors, whose sum is σ = 2009347612272. Its totient is φ = 145124130816.

The previous prime is 553006831103. The next prime is 553006831159. The reversal of 553006831104 is 401138600355.

553006831104 is a `hidden beast` number, since 5 + 530 + 0 + 6 + 8 + 3 + 110 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553006831103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 860041407 + ... + 860042049.

Almost surely, 2^553006831104 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 553006831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004673806136).

553006831104 is an abundant number, since it is smaller than the sum of its proper divisors (1456340781168).

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

553006831104 is a wasteful number, since it uses less digits than its factorization.

553006831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 553006831104 in words is "five hundred fifty-three billion, six million, eight hundred thirty-one thousand, one hundred four".