536591865600 has 1296 divisors, whose sum is σ = 2311518720000. Its totient is φ = 121439969280.

The previous prime is 536591865569. The next prime is 536591865611. The reversal of 536591865600 is 6568195635.

It is a happy number.

536591865600 is a `hidden beast` number, since 5 + 3 + 65 + 9 + 18 + 6 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1075334151 + ... + 1075334649.

Almost surely, 2^536591865600 is an apocalyptic number.

536591865600 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 536591865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155759360000).

536591865600 is an abundant number, since it is smaller than the sum of its proper divisors (1774926854400).

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

536591865600 is a wasteful number, since it uses less digits than its factorization.

536591865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 536591865600 in words is "five hundred thirty-six billion, five hundred ninety-one million, eight hundred sixty-five thousand, six hundred".