536512204800 has 2496 divisors, whose sum is σ = 2457142732800. Its totient is φ = 112892313600.

The previous prime is 536512204763. The next prime is 536512204807. The reversal of 536512204800 is 8402215635.

536512204800 is a `hidden beast` number, since 5 + 365 + 12 + 204 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is not an unprimeable number, because it can be changed into a prime (536512204807) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 9093427171 + ... + 9093427229.

Almost surely, 2^536512204800 is an apocalyptic number.

536512204800 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 536512204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228571366400).

536512204800 is an abundant number, since it is smaller than the sum of its proper divisors (1920630528000).

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

536512204800 is a wasteful number, since it uses less digits than its factorization.

536512204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 536512204800 in words is "five hundred thirty-six billion, five hundred twelve million, two hundred four thousand, eight hundred".