93906691169220 has 192 divisors, whose sum is σ = 292451460833280. Its totient is φ = 25016310345600.

The previous prime is 93906691169209. The next prime is 93906691169231. The reversal of 93906691169220 is 2296119660939.

93906691169220 is a `hidden beast` number, since 9 + 390 + 6 + 6 + 9 + 1 + 16 + 9 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (93906691169209) and next prime (93906691169231).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3367869399 + ... + 3367897281.

It is an arithmetic number, because the mean of its divisors is an integer number (1523184691840).

Almost surely, 2^{93906691169220} is an apocalyptic number.

93906691169220 is a gapful number since it is divisible by the number (90) 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 93906691169220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146225730416640).

93906691169220 is an abundant number, since it is smaller than the sum of its proper divisors (198544769664060).

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

93906691169220 is a wasteful number, since it uses less digits than its factorization.

93906691169220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34023 (or 34015 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 93906691169220 in words is "ninety-three trillion, nine hundred six billion, six hundred ninety-one million, one hundred sixty-nine thousand, two hundred twenty".