536268388800 has 336 divisors, whose sum is σ = 1805864104800. Its totient is φ = 139242700800.

The previous prime is 536268388781. The next prime is 536268388823. The reversal of 536268388800 is 8883862635.

It is a super-2 number, since 2×536268388800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111976806 + ... + 111981594.

It is an arithmetic number, because the mean of its divisors is an integer number (5374595550).

Almost surely, 2^536268388800 is an apocalyptic number.

536268388800 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 536268388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902932052400).

536268388800 is an abundant number, since it is smaller than the sum of its proper divisors (1269595716000).

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

536268388800 is a wasteful number, since it uses less digits than its factorization.

536268388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 536268388800 in words is "five hundred thirty-six billion, two hundred sixty-eight million, three hundred eighty-eight thousand, eight hundred".