552985574400 has 2112 divisors, whose sum is σ = 2517648860160. Its totient is φ = 117528330240.

The previous prime is 552985574389. The next prime is 552985574419. The reversal of 552985574400 is 4475589255.

552985574400 is a `hidden beast` number, since 5 + 5 + 29 + 8 + 5 + 574 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6662476759 + ... + 6662476841.

Almost surely, 2^552985574400 is an apocalyptic number.

552985574400 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 552985574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258824430080).

552985574400 is an abundant number, since it is smaller than the sum of its proper divisors (1964663285760).

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

552985574400 is an equidigital number, since it uses as much as digits as its factorization.

552985574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 552985574400 in words is "five hundred fifty-two billion, nine hundred eighty-five million, five hundred seventy-four thousand, four hundred".