20824006104 has 384 divisors, whose sum is σ = 65774592000. Its totient is φ = 5942280960.

The previous prime is 20824006079. The next prime is 20824006117. The reversal of 20824006104 is 40160042802.

20824006104 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 40 + 0 + 610 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163968489 + ... + 163968615.

It is an arithmetic number, because the mean of its divisors is an integer number (171288000).

Almost surely, 2^20824006104 is an apocalyptic number.

20824006104 is a gapful number since it is divisible by the number (24) 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 20824006104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32887296000).

20824006104 is an abundant number, since it is smaller than the sum of its proper divisors (44950585896).

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

20824006104 is a wasteful number, since it uses less digits than its factorization.

20824006104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20824006104 its reverse (40160042802), we get a palindrome (60984048906).

The spelling of 20824006104 in words is "twenty billion, eight hundred twenty-four million, six thousand, one hundred four".