553520000000 has 704 divisors, whose sum is σ = 1640794237056. Its totient is φ = 184320000000.

The previous prime is 553519999999. The next prime is 553520000009. The reversal of 553520000000 is 25355.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (553520000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14959999982 + ... + 14960000018.

Almost surely, 2^553520000000 is an apocalyptic number.

553520000000 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 553520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820397118528).

553520000000 is an abundant number, since it is smaller than the sum of its proper divisors (1087274237056).

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

553520000000 is an frugal number, since it uses more digits than its factorization.

553520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

Adding to 553520000000 its reverse (25355), we get a palindrome (553520025355).

It can be divided in two parts, 55 and 3520000000, that multiplied together give a square (193600000000 = 440000²).

The spelling of 553520000000 in words is "five hundred fifty-three billion, five hundred twenty million", and thus it is an aban number.