20716498289760 has 768 divisors, whose sum is σ = 80924010854400. Its totient is φ = 4338008064000.

The previous prime is 20716498289723. The next prime is 20716498289777. The reversal of 20716498289760 is 6798289461702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3212355016 + ... + 3212361464.

It is an arithmetic number, because the mean of its divisors is an integer number (105369805800).

Almost surely, 2^{20716498289760} is an apocalyptic number.

20716498289760 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 20716498289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40462005427200).

20716498289760 is an abundant number, since it is smaller than the sum of its proper divisors (60207512564640).

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

20716498289760 is a wasteful number, since it uses less digits than its factorization.

20716498289760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 20716498289760 in words is "twenty trillion, seven hundred sixteen billion, four hundred ninety-eight million, two hundred eighty-nine thousand, seven hundred sixty".