552385433600 has 1248 divisors, whose sum is σ = 1953428472576. Its totient is φ = 149107507200.

The previous prime is 552385433599. The next prime is 552385433653. The reversal of 552385433600 is 6334583255.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1742540642 + ... + 1742540958.

Almost surely, 2^552385433600 is an apocalyptic number.

552385433600 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 552385433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976714236288).

552385433600 is an abundant number, since it is smaller than the sum of its proper divisors (1401043038976).

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

552385433600 is a wasteful number, since it uses less digits than its factorization.

552385433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 552385433600 in words is "five hundred fifty-two billion, three hundred eighty-five million, four hundred thirty-three thousand, six hundred".