20500859527680 has 2560 divisors, whose sum is σ = 84650582016000. Its totient is φ = 4213820620800.

The previous prime is 20500859527669. The next prime is 20500859527727. The reversal of 20500859527680 is 8672595800502.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 20500859527680.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 113264417190 + ... + 113264417370.

It is an arithmetic number, because the mean of its divisors is an integer number (33066633600).

Almost surely, 2^{20500859527680} is an apocalyptic number.

20500859527680 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 20500859527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325291008000).

20500859527680 is an abundant number, since it is smaller than the sum of its proper divisors (64149722488320).

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

20500859527680 is a wasteful number, since it uses less digits than its factorization.

20500859527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 20500859527680 in words is "twenty trillion, five hundred billion, eight hundred fifty-nine million, five hundred twenty-seven thousand, six hundred eighty".