20859244519680 has 2880 divisors, whose sum is σ = 92936207400960. Its totient is φ = 4361304342528.

The previous prime is 20859244519609. The next prime is 20859244519709. The reversal of 20859244519680 is 8691544295802.

20859244519680 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 92 + 4 + 451 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×20859244519680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 75304131702 + ... + 75304131978.

Almost surely, 2^{20859244519680} is an apocalyptic number.

20859244519680 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 20859244519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46468103700480).

20859244519680 is an abundant number, since it is smaller than the sum of its proper divisors (72076962881280).

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

20859244519680 is a wasteful number, since it uses less digits than its factorization.

20859244519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 20859244519680 in words is "twenty trillion, eight hundred fifty-nine billion, two hundred forty-four million, five hundred nineteen thousand, six hundred eighty".