20394007200 has 1152 divisors, whose sum is σ = 91994112000. Its totient is φ = 4255027200.

The previous prime is 20394007199. The next prime is 20394007223. The reversal of 20394007200 is 270049302.

20394007200 is a `hidden beast` number, since 20 + 39 + 400 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89056686 + ... + 89056914.

It is an arithmetic number, because the mean of its divisors is an integer number (79856000).

Almost surely, 2^20394007200 is an apocalyptic number.

20394007200 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 20394007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45997056000).

20394007200 is an abundant number, since it is smaller than the sum of its proper divisors (71600104800).

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

20394007200 is a wasteful number, since it uses less digits than its factorization.

20394007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 20394007200 in words is "twenty billion, three hundred ninety-four million, seven thousand, two hundred".