532514412000 has 960 divisors, whose sum is σ = 2016387172800. Its totient is φ = 137587507200.

The previous prime is 532514411993. The next prime is 532514412011. The reversal of 532514412000 is 214415235.

532514412000 is a `hidden beast` number, since 532 + 5 + 1 + 4 + 4 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1701323844 + ... + 1701324156.

It is an arithmetic number, because the mean of its divisors is an integer number (2100403305).

Almost surely, 2^532514412000 is an apocalyptic number.

532514412000 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 532514412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008193586400).

532514412000 is an abundant number, since it is smaller than the sum of its proper divisors (1483872760800).

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

532514412000 is a wasteful number, since it uses less digits than its factorization.

532514412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 532514412000 its reverse (214415235), we get a palindrome (532728827235).

The spelling of 532514412000 in words is "five hundred thirty-two billion, five hundred fourteen million, four hundred twelve thousand".