553261816800 has 1728 divisors, whose sum is σ = 2633735430144. Its totient is φ = 109896652800.

The previous prime is 553261816787. The next prime is 553261816817. The reversal of 553261816800 is 8618162355.

553261816800 is a `hidden beast` number, since 553 + 2 + 6 + 1 + 8 + 16 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 344281597 + ... + 344283203.

It is an arithmetic number, because the mean of its divisors is an integer number (1524152448).

Almost surely, 2^553261816800 is an apocalyptic number.

553261816800 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 553261816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316867715072).

553261816800 is an abundant number, since it is smaller than the sum of its proper divisors (2080473613344).

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

553261816800 is a wasteful number, since it uses less digits than its factorization.

553261816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 553261816800 in words is "five hundred fifty-three billion, two hundred sixty-one million, eight hundred sixteen thousand, eight hundred".