20628406790208 has 280 divisors, whose sum is σ = 69894178996224. Its totient is φ = 5893026048000.

The previous prime is 20628406790207. The next prime is 20628406790219. The reversal of 20628406790208 is 80209760482602.

20628406790208 is a `hidden beast` number, since 2 + 0 + 6 + 28 + 406 + 7 + 9 + 0 + 208 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20628406790207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297200308 + ... + 297269708.

Almost surely, 2^{20628406790208} is an apocalyptic number.

20628406790208 is a gapful number since it is divisible by the number (28) 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 20628406790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34947089498112).

20628406790208 is an abundant number, since it is smaller than the sum of its proper divisors (49265772206016).

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

20628406790208 is an equidigital number, since it uses as much as digits as its factorization.

20628406790208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77623 (or 77604 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20628406790208 in words is "twenty trillion, six hundred twenty-eight billion, four hundred six million, seven hundred ninety thousand, two hundred eight".