553184161920 has 384 divisors, whose sum is σ = 2058711585840. Its totient is φ = 136065318912.

The previous prime is 553184161897. The next prime is 553184161961. The reversal of 553184161920 is 29161481355.

It is a happy number.

553184161920 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 8 + 4 + 1 + 619 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5382863424 + 547801298496 = 73368^2 + 740136^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 160016832 + ... + 160020288.

Almost surely, 2^553184161920 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 553184161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029355792920).

553184161920 is an abundant number, since it is smaller than the sum of its proper divisors (1505527423920).

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

553184161920 is a wasteful number, since it uses less digits than its factorization.

553184161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 553184161920 in words is "five hundred fifty-three billion, one hundred eighty-four million, one hundred sixty-one thousand, nine hundred twenty".