536543827200 has 864 divisors, whose sum is σ = 2193053385600. Its totient is φ = 127561236480.

The previous prime is 536543827177. The next prime is 536543827243. The reversal of 536543827200 is 2728345635.

536543827200 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 438 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55809594 + ... + 55819206.

Almost surely, 2^536543827200 is an apocalyptic number.

536543827200 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 536543827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096526692800).

536543827200 is an abundant number, since it is smaller than the sum of its proper divisors (1656509558400).

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

536543827200 is a wasteful number, since it uses less digits than its factorization.

536543827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 536543827200 in words is "five hundred thirty-six billion, five hundred forty-three million, eight hundred twenty-seven thousand, two hundred".