326138384517120 has 3072 divisors, whose sum is σ = 1440026864640000. Its totient is φ = 68353712455680.

The previous prime is 326138384517119. The next prime is 326138384517181. The reversal of 326138384517120 is 21715483831623.

326138384517120 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 38 + 3 + 84 + 517 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 206547424491 + ... + 206547426069.

It is an arithmetic number, because the mean of its divisors is an integer number (468758745000).

Almost surely, 2^{326138384517120} is an apocalyptic number.

326138384517120 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 326138384517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720013432320000).

326138384517120 is an abundant number, since it is smaller than the sum of its proper divisors (1113888480122880).

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

326138384517120 is a wasteful number, since it uses less digits than its factorization.

326138384517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 326138384517120 in words is "three hundred twenty-six trillion, one hundred thirty-eight billion, three hundred eighty-four million, five hundred seventeen thousand, one hundred twenty".