553212180000 has 600 divisors, whose sum is σ = 2082913551180. Its totient is φ = 143907840000.

The previous prime is 553212179987. The next prime is 553212180011. The reversal of 553212180000 is 81212355.

It is a happy number.

553212180000 is a `hidden beast` number, since 5 + 532 + 121 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 273273835536 + 279938344464 = 522756^2 + 529092^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×553212180000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 66415836 + ... + 66424164.

Almost surely, 2^553212180000 is an apocalyptic number.

553212180000 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 553212180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041456775590).

553212180000 is an abundant number, since it is smaller than the sum of its proper divisors (1529701371180).

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

553212180000 is an equidigital number, since it uses as much as digits as its factorization.

553212180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 553212180000 its reverse (81212355), we get a palindrome (553293392355).

The spelling of 553212180000 in words is "five hundred fifty-three billion, two hundred twelve million, one hundred eighty thousand".