552328934400 has 1056 divisors, whose sum is σ = 2119971456000. Its totient is φ = 140761497600.

The previous prime is 552328934383. The next prime is 552328934429. The reversal of 552328934400 is 4439823255.

552328934400 is a `hidden beast` number, since 5 + 5 + 23 + 289 + 344 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 3192652714 + ... + 3192652886.

Almost surely, 2^552328934400 is an apocalyptic number.

552328934400 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 552328934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059985728000).

552328934400 is an abundant number, since it is smaller than the sum of its proper divisors (1567642521600).

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

552328934400 is a wasteful number, since it uses less digits than its factorization.

552328934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 552328934400 in words is "five hundred fifty-two billion, three hundred twenty-eight million, nine hundred thirty-four thousand, four hundred".