326859152256 has 1296 divisors, whose sum is σ = 1256454005040. Its totient is φ = 84370470912.

The previous prime is 326859152239. The next prime is 326859152267. The reversal of 326859152256 is 652251958623.

326859152256 is a `hidden beast` number, since 3 + 2 + 68 + 5 + 9 + 1 + 522 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

Its product of digits (7776000) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 6954450025 + ... + 6954450071.

It is an arithmetic number, because the mean of its divisors is an integer number (969486115).

Almost surely, 2^326859152256 is an apocalyptic number.

326859152256 is a gapful number since it is divisible by the number (36) 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 326859152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628227002520).

326859152256 is an abundant number, since it is smaller than the sum of its proper divisors (929594852784).

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

326859152256 is an frugal number, since it uses more digits than its factorization.

326859152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 326859152256 in words is "three hundred twenty-six billion, eight hundred fifty-nine million, one hundred fifty-two thousand, two hundred fifty-six".