20189858328864 has 576 divisors, whose sum is σ = 68363909332992. Its totient is φ = 5536400647680.

The previous prime is 20189858328853. The next prime is 20189858329139. The reversal of 20189858328864 is 46882385898102.

It is a happy number.

20189858328864 is a `hidden beast` number, since 2 + 0 + 18 + 9 + 8 + 583 + 28 + 8 + 6 + 4 = 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 = 20189858328792 and 20189858328801.

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, 7627447989 + ... + 7627450635.

It is an arithmetic number, because the mean of its divisors is an integer number (118687342592).

Almost surely, 2^{20189858328864} is an apocalyptic number.

20189858328864 is a gapful number since it is divisible by the number (24) 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 20189858328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181954666496).

20189858328864 is an abundant number, since it is smaller than the sum of its proper divisors (48174051004128).

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

20189858328864 is a wasteful number, since it uses less digits than its factorization.

20189858328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 20189858328864 in words is "twenty trillion, one hundred eighty-nine billion, eight hundred fifty-eight million, three hundred twenty-eight thousand, eight hundred sixty-four".