20838075552 has 360 divisors, whose sum is σ = 71746456320. Its totient is φ = 5915669760.

The previous prime is 20838075529. The next prime is 20838075553. The reversal of 20838075552 is 25557083802.

20838075552 is a `hidden beast` number, since 20 + 8 + 3 + 8 + 0 + 75 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20838075498 and 20838075507.

It is not an unprimeable number, because it can be changed into a prime (20838075553) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24258099 + ... + 24258957.

It is an arithmetic number, because the mean of its divisors is an integer number (199295712).

Almost surely, 2^20838075552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20838075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35873228160).

20838075552 is an abundant number, since it is smaller than the sum of its proper divisors (50908380768).

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

20838075552 is a wasteful number, since it uses less digits than its factorization.

20838075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 20838075552 in words is "twenty billion, eight hundred thirty-eight million, seventy-five thousand, five hundred fifty-two".