325149782872320 has 1728 divisors, whose sum is σ = 1314784889832960. Its totient is φ = 72661956820992.

The previous prime is 325149782872283. The next prime is 325149782872339. The reversal of 325149782872320 is 23278287941523.

It is a happy number.

325149782872320 is a `hidden beast` number, since 3 + 2 + 51 + 4 + 9 + 78 + 287 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341185500964 + ... + 341185501916.

It is an arithmetic number, because the mean of its divisors is an integer number (760870885320).

Almost surely, 2^{325149782872320} is an apocalyptic number.

325149782872320 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 325149782872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657392444916480).

325149782872320 is an abundant number, since it is smaller than the sum of its proper divisors (989635106960640).

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

325149782872320 is a wasteful number, since it uses less digits than its factorization.

325149782872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 325149782872320 in words is "three hundred twenty-five trillion, one hundred forty-nine billion, seven hundred eighty-two million, eight hundred seventy-two thousand, three hundred twenty".