552785817600 has 1248 divisors, whose sum is σ = 2267006688000. Its totient is φ = 131224043520.

The previous prime is 552785817599. The next prime is 552785817613. The reversal of 552785817600 is 6718587255.

552785817600 is a `hidden beast` number, since 5 + 5 + 27 + 8 + 5 + 8 + 1 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 893030091 + ... + 893030709.

Almost surely, 2^552785817600 is an apocalyptic number.

552785817600 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 552785817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133503344000).

552785817600 is an abundant number, since it is smaller than the sum of its proper divisors (1714220870400).

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

552785817600 is a wasteful number, since it uses less digits than its factorization.

552785817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 552785817600 in words is "five hundred fifty-two billion, seven hundred eighty-five million, eight hundred seventeen thousand, six hundred".