538346832000 has 512 divisors, whose sum is σ = 1867661452800. Its totient is φ = 136916172800.

The previous prime is 538346831993. The next prime is 538346832013. The reversal of 538346832000 is 238643835.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 628175572 + ... + 628176428.

It is an arithmetic number, because the mean of its divisors is an integer number (3647776275).

Almost surely, 2^538346832000 is an apocalyptic number.

538346832000 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 538346832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933830726400).

538346832000 is an abundant number, since it is smaller than the sum of its proper divisors (1329314620800).

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

538346832000 is a wasteful number, since it uses less digits than its factorization.

538346832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 538346832000 in words is "five hundred thirty-eight billion, three hundred forty-six million, eight hundred thirty-two thousand".