3255965527680 has 640 divisors, whose sum is σ = 12336470784000. Its totient is φ = 816051511296.

The previous prime is 3255965527621. The next prime is 3255965527681. The reversal of 3255965527680 is 867255695523.

It is a happy number.

3255965527680 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 9 + 6 + 552 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (3255965527681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125076906 + ... + 125102934.

It is an arithmetic number, because the mean of its divisors is an integer number (19275735600).

Almost surely, 2^{3255965527680} is an apocalyptic number.

3255965527680 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 3255965527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168235392000).

3255965527680 is an abundant number, since it is smaller than the sum of its proper divisors (9080505256320).

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

3255965527680 is a wasteful number, since it uses less digits than its factorization.

3255965527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26206 (or 26185 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 3255965527680 in words is "three trillion, two hundred fifty-five billion, nine hundred sixty-five million, five hundred twenty-seven thousand, six hundred eighty".