20858672918880 has 576 divisors, whose sum is σ = 77059665446400. Its totient is φ = 5318144004096.

The previous prime is 20858672918879. The next prime is 20858672918921. The reversal of 20858672918880 is 8881927685802.

20858672918880 is a `hidden beast` number, since 2 + 0 + 8 + 586 + 7 + 29 + 18 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20858672918799 and 20858672918808.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3084230379 + ... + 3084237141.

It is an arithmetic number, because the mean of its divisors is an integer number (133784141400).

Almost surely, 2^{20858672918880} is an apocalyptic number.

20858672918880 is a gapful number since it is divisible by the number (20) 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 20858672918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38529832723200).

20858672918880 is an abundant number, since it is smaller than the sum of its proper divisors (56200992527520).

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

20858672918880 is a wasteful number, since it uses less digits than its factorization.

20858672918880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 20858672918880 in words is "twenty trillion, eight hundred fifty-eight billion, six hundred seventy-two million, nine hundred eighteen thousand, eight hundred eighty".