20258034688512 has 320 divisors, whose sum is σ = 61918494105600. Its totient is φ = 6532850257920.

The previous prime is 20258034688501. The next prime is 20258034688519. The reversal of 20258034688512 is 21588643085202.

20258034688512 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 8 + 0 + 3 + 46 + 88 + 512 = 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 (20258034688519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137144189 + ... + 2137153667.

It is an arithmetic number, because the mean of its divisors is an integer number (193495294080).

Almost surely, 2^{20258034688512} 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 20258034688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959247052800).

20258034688512 is an abundant number, since it is smaller than the sum of its proper divisors (41660459417088).

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

20258034688512 is an equidigital number, since it uses as much as digits as its factorization.

20258034688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14524 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 20258034688512 in words is "twenty trillion, two hundred fifty-eight billion, thirty-four million, six hundred eighty-eight thousand, five hundred twelve".