20858043856896 has 1536 divisors, whose sum is σ = 70123047321600. Its totient is φ = 6094910914560.

The previous prime is 20858043856891. The next prime is 20858043856933. The reversal of 20858043856896 is 69865834085802.

20858043856896 is a `hidden beast` number, since 2 + 0 + 8 + 58 + 0 + 4 + 3 + 8 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20858043856891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132853782450 + ... + 132853782606.

It is an arithmetic number, because the mean of its divisors is an integer number (45653025600).

Almost surely, 2^{20858043856896} 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 20858043856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35061523660800).

20858043856896 is an abundant number, since it is smaller than the sum of its proper divisors (49265003464704).

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

20858043856896 is a wasteful number, since it uses less digits than its factorization.

20858043856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 20858043856896 in words is "twenty trillion, eight hundred fifty-eight billion, forty-three million, eight hundred fifty-six thousand, eight hundred ninety-six".