553399819920 has 120 divisors (see below), whose sum is σ = 1859759541432. Its totient is φ = 147473356800.

The previous prime is 553399819913. The next prime is 553399819927. The reversal of 553399819920 is 29918993355.

553399819920 is a `hidden beast` number, since 5 + 5 + 339 + 98 + 199 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (553399819913) and next prime (553399819927).

It can be written as a sum of positive squares in 4 ways, for example, as 559984896 + 552839835024 = 23664^2 + 743532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (553399819927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806830 + ... + 1325810.

Almost surely, 2^553399819920 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 553399819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929879770716).

553399819920 is an abundant number, since it is smaller than the sum of its proper divisors (1306359721512).

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

553399819920 is a wasteful number, since it uses less digits than its factorization.

553399819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520481 (or 520472 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 553399819920 in words is "five hundred fifty-three billion, three hundred ninety-nine million, eight hundred nineteen thousand, nine hundred twenty".