536536029337600 has 288 divisors, whose sum is σ = 1373346288961920. Its totient is φ = 207668772864000.

The previous prime is 536536029337577. The next prime is 536536029337613. The reversal of 536536029337600 is 6733920635635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28856873904 + ... + 28856892496.

It is an arithmetic number, because the mean of its divisors is an integer number (4768563503340).

Almost surely, 2^{536536029337600} is an apocalyptic number.

536536029337600 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 536536029337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686673144480960).

536536029337600 is an abundant number, since it is smaller than the sum of its proper divisors (836810259624320).

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

536536029337600 is a wasteful number, since it uses less digits than its factorization.

536536029337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36837 (or 36812 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 58.

The spelling of 536536029337600 in words is "five hundred thirty-six trillion, five hundred thirty-six billion, twenty-nine million, three hundred thirty-seven thousand, six hundred".