328006115053560 has 192 divisors, whose sum is σ = 1076597359344000. Its totient is φ = 86600437862400.

The previous prime is 328006115053541. The next prime is 328006115053607. The reversal of 328006115053560 is 65350511600823.

328006115053560 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 0 + 6 + 1 + 1 + 50 + 535 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3062876496 + ... + 3062983584.

It is an arithmetic number, because the mean of its divisors is an integer number (5607277913250).

Almost surely, 2^{328006115053560} is an apocalyptic number.

328006115053560 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 328006115053560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538298679672000).

328006115053560 is an abundant number, since it is smaller than the sum of its proper divisors (748591244290440).

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

328006115053560 is a wasteful number, since it uses less digits than its factorization.

328006115053560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191446 (or 191439 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 328006115053560 in words is "three hundred twenty-eight trillion, six billion, one hundred fifteen million, fifty-three thousand, five hundred sixty".