20838432633120 has 288 divisors, whose sum is σ = 71703241593984. Its totient is φ = 5510771712000.

The previous prime is 20838432633107. The next prime is 20838432633121. The reversal of 20838432633120 is 2133623483802.

20838432633120 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 8 + 4 + 3 + 2 + 633 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20838432633121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128861115 + ... + 129022725.

It is an arithmetic number, because the mean of its divisors is an integer number (248969588868).

Almost surely, 2^{20838432633120} is an apocalyptic number.

20838432633120 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 20838432633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35851620796992).

20838432633120 is an abundant number, since it is smaller than the sum of its proper divisors (50864808960864).

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

20838432633120 is a wasteful number, since it uses less digits than its factorization.

20838432633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162376 (or 162365 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 20838432633120 in words is "twenty trillion, eight hundred thirty-eight billion, four hundred thirty-two million, six hundred thirty-three thousand, one hundred twenty".