325871816270688 has 2880 divisors, whose sum is σ = 1144267810076160. Its totient is φ = 90422509731840.

The previous prime is 325871816270653. The next prime is 325871816270699. The reversal of 325871816270688 is 886072618178523.

325871816270688 is a `hidden beast` number, since 3 + 2 + 587 + 1 + 8 + 16 + 27 + 0 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3045530993131 + ... + 3045530993237.

It is an arithmetic number, because the mean of its divisors is an integer number (397315211832).

Almost surely, 2^{325871816270688} 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 325871816270688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572133905038080).

325871816270688 is an abundant number, since it is smaller than the sum of its proper divisors (818395993805472).

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

325871816270688 is a wasteful number, since it uses less digits than its factorization.

325871816270688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 325871816270688 in words is "three hundred twenty-five trillion, eight hundred seventy-one billion, eight hundred sixteen million, two hundred seventy thousand, six hundred eighty-eight".