532007112000 has 2688 divisors, whose sum is σ = 2458767467520. Its totient is φ = 99916185600.

The previous prime is 532007111981. The next prime is 532007112001. The reversal of 532007112000 is 211700235.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532007112001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 5977607956 + ... + 5977608044.

It is an arithmetic number, because the mean of its divisors is an integer number (914720040).

Almost surely, 2^532007112000 is an apocalyptic number.

532007112000 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 532007112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229383733760).

532007112000 is an abundant number, since it is smaller than the sum of its proper divisors (1926760355520).

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

532007112000 is a wasteful number, since it uses less digits than its factorization.

532007112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 532007112000 its reverse (211700235), we get a palindrome (532218812235).

The spelling of 532007112000 in words is "five hundred thirty-two billion, seven million, one hundred twelve thousand".