20138890939200 has 1764 divisors, whose sum is σ = 84318429913984. Its totient is φ = 4723640064000.

The previous prime is 20138890939157. The next prime is 20138890939249. The reversal of 20138890939200 is 293909883102.

20138890939200 is a `hidden beast` number, since 2 + 0 + 1 + 388 + 90 + 93 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 251 ways as a sum of consecutive naturals, for example, 4375164099 + ... + 4375168701.

Almost surely, 2^{20138890939200} is an apocalyptic number.

20138890939200 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 20138890939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159214956992).

20138890939200 is an abundant number, since it is smaller than the sum of its proper divisors (64179538974784).

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

20138890939200 is a wasteful number, since it uses less digits than its factorization.

20138890939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 20138890939200 in words is "twenty trillion, one hundred thirty-eight billion, eight hundred ninety million, nine hundred thirty-nine thousand, two hundred".