532841601600 has 1701 divisors, whose sum is σ = 2452567980681. Its totient is φ = 109318809600.

The previous prime is 532841601583. The next prime is 532841601619. The reversal of 532841601600 is 6106148235.

It is a happy number.

The square root of 532841601600 is 729960.

It is a perfect power (a square), and thus also a powerful number.

532841601600 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 41 + 6 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191822976576 + 341018625024 = 437976^2 + 583968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6744830361 + ... + 6744830439.

Almost surely, 2^532841601600 is an apocalyptic number.

532841601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532841601600 is the 729960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532841601600

532841601600 is an abundant number, since it is smaller than the sum of its proper divisors (1919726379081).

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

532841601600 is a wasteful number, since it uses less digits than its factorization.

532841601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 532841601600 by its sum of digits (36), we get a square (19182297657600 = 4379760²).

532841601600 divided by its sum of digits (36) gives a square (14801155600 = 121660²).

Adding to 532841601600 its reverse (6106148235), we get a palindrome (538947749835).

The spelling of 532841601600 in words is "five hundred thirty-two billion, eight hundred forty-one million, six hundred one thousand, six hundred".