20100839472 has 320 divisors, whose sum is σ = 67352832000. Its totient is φ = 5691658752.

The previous prime is 20100839471. The next prime is 20100839483. The reversal of 20100839472 is 27493800102.

20100839472 is a `hidden beast` number, since 2 + 0 + 100 + 83 + 9 + 472 = 666.

It is a super-2 number, since 2×20100839472² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20100839471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33557029 + ... + 33557627.

It is an arithmetic number, because the mean of its divisors is an integer number (210477600).

Almost surely, 2^20100839472 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 20100839472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33676416000).

20100839472 is an abundant number, since it is smaller than the sum of its proper divisors (47251992528).

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

20100839472 is an equidigital number, since it uses as much as digits as its factorization.

20100839472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20100839472 in words is "twenty billion, one hundred million, eight hundred thirty-nine thousand, four hundred seventy-two".