553012442400020 has 48 divisors (see below), whose sum is σ = 1190369114334288. Its totient is φ = 215679491850240.

The previous prime is 553012442399987. The next prime is 553012442400031. The reversal of 553012442400020 is 20004244210355.

It can be written as a sum of positive squares in 8 ways, for example, as 177584461470724 + 375427980929296 = 13326082^2 + 19375964^2 .

It is a super-2 number, since 2×553012442400020² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 553012442400020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202143197 + ... + 204860676.

It is an arithmetic number, because the mean of its divisors is an integer number (24799356548631).

Almost surely, 2^{553012442400020} is an apocalyptic number.

It is an amenable number.

553012442400020 is an abundant number, since it is smaller than the sum of its proper divisors (637356671934268).

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

553012442400020 is a wasteful number, since it uses less digits than its factorization.

553012442400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407005580 (or 407005578 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 553012442400020 its reverse (20004244210355), we get a palindrome (573016686610375).

The spelling of 553012442400020 in words is "five hundred fifty-three trillion, twelve billion, four hundred forty-two million, four hundred thousand, twenty".