20006197200 has 720 divisors, whose sum is σ = 80211056640. Its totient is φ = 4572288000.

The previous prime is 20006197171. The next prime is 20006197241. The reversal of 20006197200 is 279160002.

20006197200 is a `hidden beast` number, since 20 + 0 + 0 + 619 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52786611 + ... + 52786989.

Almost surely, 2^20006197200 is an apocalyptic number.

20006197200 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 20006197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40105528320).

20006197200 is an abundant number, since it is smaller than the sum of its proper divisors (60204859440).

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

20006197200 is a wasteful number, since it uses less digits than its factorization.

20006197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 20006197200 in words is "twenty billion, six million, one hundred ninety-seven thousand, two hundred".