537145952800 has 216 divisors, whose sum is σ = 1388101882356. Its totient is φ = 202844160000.

The previous prime is 537145952773. The next prime is 537145952857. The reversal of 537145952800 is 8259541735.

It can be written as a sum of positive squares in 6 ways, for example, as 171425809296 + 365720143504 = 414036^2 + 604748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31512280 + ... + 31529320.

Almost surely, 2^537145952800 is an apocalyptic number.

537145952800 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 537145952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694050941178).

537145952800 is an abundant number, since it is smaller than the sum of its proper divisors (850955929556).

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

537145952800 is a wasteful number, since it uses less digits than its factorization.

537145952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17164 (or 17120 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 537145952800 in words is "five hundred thirty-seven billion, one hundred forty-five million, nine hundred fifty-two thousand, eight hundred".