20449102397760 has 448 divisors, whose sum is σ = 73287214156800. Its totient is φ = 5366809903104.

The previous prime is 20449102397753. The next prime is 20449102397767. The reversal of 20449102397760 is 6779320194402.

20449102397760 is a `hidden beast` number, since 2 + 0 + 4 + 491 + 0 + 2 + 3 + 97 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (20449102397753) and next prime (20449102397767).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20449102397697 and 20449102397706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20449102397767) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 213593422 + ... + 213689138.

It is an arithmetic number, because the mean of its divisors is an integer number (163587531600).

Almost surely, 2^{20449102397760} is an apocalyptic number.

20449102397760 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 20449102397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643607078400).

20449102397760 is an abundant number, since it is smaller than the sum of its proper divisors (52838111759040).

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

20449102397760 is a wasteful number, since it uses less digits than its factorization.

20449102397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96135 (or 96119 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 20449102397760 in words is "twenty trillion, four hundred forty-nine billion, one hundred two million, three hundred ninety-seven thousand, seven hundred sixty".