325254279168000 has 6912 divisors, whose sum is σ = 1605720754965600. Its totient is φ = 65013232435200.

The previous prime is 325254279167977. The next prime is 325254279168011. The reversal of 325254279168000 is 861972452523.

325254279168000 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 542 + 7 + 9 + 16 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×325254279168000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17118646271991 + ... + 17118646272009.

It is a 1-persistent number, because it is pandigital, but 2⋅325254279168000 = 650508558336000 is not.

Almost surely, 2^{325254279168000} is an apocalyptic number.

325254279168000 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 325254279168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802860377482800).

325254279168000 is an abundant number, since it is smaller than the sum of its proper divisors (1280466475797600).

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

325254279168000 is an frugal number, since it uses more digits than its factorization.

325254279168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 325254279168000 in words is "three hundred twenty-five trillion, two hundred fifty-four billion, two hundred seventy-nine million, one hundred sixty-eight thousand".