20868192000 has 720 divisors, whose sum is σ = 79402875552. Its totient is φ = 5441126400.

The previous prime is 20868191999. The next prime is 20868192001. The reversal of 20868192000 is 29186802.

It is an interprime number because it is at equal distance from previous prime (20868191999) and next prime (20868192001).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20868192001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215135952 + ... + 215136048.

Almost surely, 2^20868192000 is an apocalyptic number.

20868192000 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 20868192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39701437776).

20868192000 is an abundant number, since it is smaller than the sum of its proper divisors (58534683552).

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

20868192000 is an frugal number, since it uses more digits than its factorization.

20868192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20868192000 in words is "twenty billion, eight hundred sixty-eight million, one hundred ninety-two thousand".