536870896000 has 256 divisors, whose sum is σ = 1380912099840. Its totient is φ = 207360000000.

The previous prime is 536870895989. The next prime is 536870896039. The reversal of 536870896000 is 698078635.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298095100 + ... + 298096900.

It is an arithmetic number, because the mean of its divisors is an integer number (5394187890).

Almost surely, 2^536870896000 is an apocalyptic number.

536870896000 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 536870896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690456049920).

536870896000 is an abundant number, since it is smaller than the sum of its proper divisors (844041203840).

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

536870896000 is a wasteful number, since it uses less digits than its factorization.

536870896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 536870896000 in words is "five hundred thirty-six billion, eight hundred seventy million, eight hundred ninety-six thousand".