20759279412480 has 1728 divisors, whose sum is σ = 83711277619200. Its totient is φ = 4358086656000.

The previous prime is 20759279412433. The next prime is 20759279412493. The reversal of 20759279412480 is 8421497295702.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 31501182391 + ... + 31501183049.

It is an arithmetic number, because the mean of its divisors is an integer number (48444026400).

Almost surely, 2^{20759279412480} is an apocalyptic number.

20759279412480 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 20759279412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41855638809600).

20759279412480 is an abundant number, since it is smaller than the sum of its proper divisors (62951998206720).

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

20759279412480 is a wasteful number, since it uses less digits than its factorization.

20759279412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 20759279412480 in words is "twenty trillion, seven hundred fifty-nine billion, two hundred seventy-nine million, four hundred twelve thousand, four hundred eighty".