19648443622080 has 896 divisors, whose sum is σ = 78338418278400. Its totient is φ = 4061686726656.

The previous prime is 19648443622069. The next prime is 19648443622141. The reversal of 19648443622080 is 8022634484691.

It is a super-2 number, since 2×19648443622080² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19648443622080.

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 127 ways as a sum of consecutive naturals, for example, 3838333761 + ... + 3838338879.

It is an arithmetic number, because the mean of its divisors is an integer number (87431270400).

Almost surely, 2^{19648443622080} is an apocalyptic number.

19648443622080 is a gapful number since it is divisible by the number (10) 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 19648443622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39169209139200).

19648443622080 is an abundant number, since it is smaller than the sum of its proper divisors (58689974656320).

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

19648443622080 is a wasteful number, since it uses less digits than its factorization.

19648443622080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 19648443622080 in words is "nineteen trillion, six hundred forty-eight billion, four hundred forty-three million, six hundred twenty-two thousand, eighty".