537025843200 has 1248 divisors, whose sum is σ = 2251210770432. Its totient is φ = 109707264000.

The previous prime is 537025843199. The next prime is 537025843217. The reversal of 537025843200 is 2348520735.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1726771045 + ... + 1726771355.

It is an arithmetic number, because the mean of its divisors is an integer number (1803854784).

Almost surely, 2^537025843200 is an apocalyptic number.

537025843200 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 537025843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125605385216).

537025843200 is an abundant number, since it is smaller than the sum of its proper divisors (1714184927232).

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

537025843200 is a wasteful number, since it uses less digits than its factorization.

537025843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 537025843200 in words is "five hundred thirty-seven billion, twenty-five million, eight hundred forty-three thousand, two hundred".