553242400000 has 108 divisors (see below), whose sum is σ = 1380318271164. Its totient is φ = 221296640000.

The previous prime is 553242399991. The next prime is 553242400003. The reversal of 553242400000 is 4242355.

It can be written as a sum of positive squares in 6 ways, for example, as 510184489984 + 43057910016 = 714272^2 + 207504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553242400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454224 + ... + 1145776.

It is an arithmetic number, because the mean of its divisors is an integer number (12780724733).

Almost surely, 2^553242400000 is an apocalyptic number.

553242400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690159135582).

553242400000 is an abundant number, since it is smaller than the sum of its proper divisors (827075871164).

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

553242400000 is an frugal number, since it uses more digits than its factorization.

553242400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691594 (or 691560 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 553242400000 its reverse (4242355), we get a palindrome (553246642355).

The spelling of 553242400000 in words is "five hundred fifty-three billion, two hundred forty-two million, four hundred thousand".