32256000403200 has 648 divisors, whose sum is σ = 136678542652288. Its totient is φ = 7372797603840.

The previous prime is 32256000403189. The next prime is 32256000403313. The reversal of 32256000403200 is 230400065223.

32256000403200 is a `hidden beast` number, since 3 + 2 + 2 + 56 + 0 + 0 + 0 + 403 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×32256000403200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9404919 + ... + 12367881.

Almost surely, 2^{32256000403200} is an apocalyptic number.

32256000403200 is a gapful number since it is divisible by the number (30) 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 32256000403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68339271326144).

32256000403200 is an abundant number, since it is smaller than the sum of its proper divisors (104422542249088).

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

32256000403200 is an equidigital number, since it uses as much as digits as its factorization.

32256000403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963011 (or 2962980 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 32256000403200 its reverse (230400065223), we get a palindrome (32486400468423).

The spelling of 32256000403200 in words is "thirty-two trillion, two hundred fifty-six billion, four hundred three thousand, two hundred".