3256525231200 has 1152 divisors, whose sum is σ = 12648715430400. Its totient is φ = 816293376000.

The previous prime is 3256525231187. The next prime is 3256525231207. The reversal of 3256525231200 is 21325256523.

3256525231200 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 5 + 2 + 523 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3256525231207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5418510900 + ... + 5418511500.

It is an arithmetic number, because the mean of its divisors is an integer number (10979787700).

Almost surely, 2^{3256525231200} is an apocalyptic number.

3256525231200 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 3256525231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324357715200).

3256525231200 is an abundant number, since it is smaller than the sum of its proper divisors (9392190199200).

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

3256525231200 is a wasteful number, since it uses less digits than its factorization.

3256525231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 3256525231200 in words is "three trillion, two hundred fifty-six billion, five hundred twenty-five million, two hundred thirty-one thousand, two hundred".