20312970163200 has 3168 divisors, whose sum is σ = 92478393920640. Its totient is φ = 4185155174400.

The previous prime is 20312970163159. The next prime is 20312970163217. The reversal of 20312970163200 is 236107921302.

20312970163200 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 297 + 0 + 163 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 23161881162 + ... + 23161882038.

Almost surely, 2^{20312970163200} is an apocalyptic number.

20312970163200 is a gapful number since it is divisible by the number (20) 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 20312970163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46239196960320).

20312970163200 is an abundant number, since it is smaller than the sum of its proper divisors (72165423757440).

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

20312970163200 is a wasteful number, since it uses less digits than its factorization.

20312970163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20312970163200 in words is "twenty trillion, three hundred twelve billion, nine hundred seventy million, one hundred sixty-three thousand, two hundred".