536608800000 has 2430 divisors, whose sum is σ = 2519210482866. Its totient is φ = 113218560000.

The previous prime is 536608799981. The next prime is 536608800011. The reversal of 536608800000 is 8806635.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 472595751936 + 64013048064 = 687456^2 + 253008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 269 ways as a sum of consecutive naturals, for example, 41277599994 + ... + 41277600006.

Almost surely, 2^536608800000 is an apocalyptic number.

536608800000 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 536608800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259605241433).

536608800000 is an abundant number, since it is smaller than the sum of its proper divisors (1982601682866).

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

536608800000 is an frugal number, since it uses more digits than its factorization.

536608800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 536608800000 in words is "five hundred thirty-six billion, six hundred eight million, eight hundred thousand".