553553320320 has 3072 divisors, whose sum is σ = 2805807513600. Its totient is φ = 96745881600.

The previous prime is 553553320303. The next prime is 553553320349. The reversal of 553553320320 is 23023355355.

553553320320 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 5 + 3 + 320 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3396032559 + ... + 3396032721.

It is an arithmetic number, because the mean of its divisors is an integer number (913348800).

Almost surely, 2^553553320320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553553320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402903756800).

553553320320 is an abundant number, since it is smaller than the sum of its proper divisors (2252254193280).

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

553553320320 is a wasteful number, since it uses less digits than its factorization.

553553320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 36.

Adding to 553553320320 its reverse (23023355355), we get a palindrome (576576675675).

The spelling of 553553320320 in words is "five hundred fifty-three billion, five hundred fifty-three million, three hundred twenty thousand, three hundred twenty".