20190968000 has 448 divisors, whose sum is σ = 61349363712. Its totient is φ = 6425395200.

The previous prime is 20190967991. The next prime is 20190968041. The reversal of 20190968000 is 86909102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

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 63 ways as a sum of consecutive naturals, for example, 120903917 + ... + 120904083.

It is an arithmetic number, because the mean of its divisors is an integer number (136940544).

Almost surely, 2^20190968000 is an apocalyptic number.

20190968000 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 20190968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30674681856).

20190968000 is an abundant number, since it is smaller than the sum of its proper divisors (41158395712).

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

20190968000 is a wasteful number, since it uses less digits than its factorization.

20190968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 20190968000 in words is "twenty billion, one hundred ninety million, nine hundred sixty-eight thousand".