20069005290048 has 1792 divisors, whose sum is σ = 74950807680000. Its totient is φ = 5268350730240.

The previous prime is 20069005290043. The next prime is 20069005290053. The reversal of 20069005290048 is 84009250096002.

20069005290048 is a `hidden beast` number, since 20 + 0 + 69 + 0 + 0 + 529 + 0 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (20069005290043) and next prime (20069005290053).

It is a junction number, because it is equal to n+sod(n) for n = 20069005289985 and 20069005290012.

It is not an unprimeable number, because it can be changed into a prime (20069005290043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57504312978 + ... + 57504313326.

It is an arithmetic number, because the mean of its divisors is an integer number (41825227500).

Almost surely, 2^{20069005290048} 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 20069005290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37475403840000).

20069005290048 is an abundant number, since it is smaller than the sum of its proper divisors (54881802389952).

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

20069005290048 is an equidigital number, since it uses as much as digits as its factorization.

20069005290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20069005290048 in words is "twenty trillion, sixty-nine billion, five million, two hundred ninety thousand, forty-eight".