3258973163520 has 832 divisors, whose sum is σ = 11866753843200. Its totient is φ = 848231792640.

The previous prime is 3258973163491. The next prime is 3258973163531. The reversal of 3258973163520 is 253613798523.

3258973163520 is a `hidden beast` number, since 3 + 2 + 5 + 89 + 7 + 31 + 6 + 3 + 520 = 666.

It is a super-3 number, since 3×3258973163520³ (a number of 39 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 6231305979 + ... + 6231306501.

Almost surely, 2^{3258973163520} is an apocalyptic number.

3258973163520 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 3258973163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933376921600).

3258973163520 is an abundant number, since it is smaller than the sum of its proper divisors (8607780679680).

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

3258973163520 is a wasteful number, since it uses less digits than its factorization.

3258973163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3258973163520 in words is "three trillion, two hundred fifty-eight billion, nine hundred seventy-three million, one hundred sixty-three thousand, five hundred twenty".