532868972256 has 288 divisors, whose sum is σ = 1568190274560. Its totient is φ = 171548163072.

The previous prime is 532868972249. The next prime is 532868972267. The reversal of 532868972256 is 652279868235.

532868972256 is a `hidden beast` number, since 5 + 328 + 6 + 89 + 7 + 225 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 532868972193 and 532868972202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780188491 + ... + 780189173.

It is an arithmetic number, because the mean of its divisors is an integer number (5445105120).

Almost surely, 2^532868972256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532868972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784095137280).

532868972256 is an abundant number, since it is smaller than the sum of its proper divisors (1035321302304).

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

532868972256 is a wasteful number, since it uses less digits than its factorization.

532868972256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 532868972256 in words is "five hundred thirty-two billion, eight hundred sixty-eight million, nine hundred seventy-two thousand, two hundred fifty-six".