52193832000 has 448 divisors, whose sum is σ = 180528211968. Its totient is φ = 13284864000.

The previous prime is 52193831971. The next prime is 52193832001. The reversal of 52193832000 is 23839125.

It is not an unprimeable number, because it can be changed into a prime (52193832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714983964 + ... + 714984036.

Almost surely, 2^52193832000 is an apocalyptic number.

52193832000 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 52193832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90264105984).

52193832000 is an abundant number, since it is smaller than the sum of its proper divisors (128334379968).

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

52193832000 is an frugal number, since it uses more digits than its factorization.

52193832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 52193832000 in words is "fifty-two billion, one hundred ninety-three million, eight hundred thirty-two thousand".