19948071960500 has 96 divisors (see below), whose sum is σ = 45038636042400. Its totient is φ = 7713194112000.

The previous prime is 19948071960499. The next prime is 19948071960511. The reversal of 19948071960500 is 506917084991.

It can be written as a sum of positive squares in 16 ways, for example, as 17914259410576 + 2033812549924 = 4232524^2 + 1426118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19948071960500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229155 + ... + 6698154.

It is an arithmetic number, because the mean of its divisors is an integer number (469152458775).

Almost surely, 2^{19948071960500} is an apocalyptic number.

19948071960500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19948071960500 is an abundant number, since it is smaller than the sum of its proper divisors (25090564081900).

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

19948071960500 is a wasteful number, since it uses less digits than its factorization.

19948071960500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927478 (or 8927466 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 59.

The spelling of 19948071960500 in words is "nineteen trillion, nine hundred forty-eight billion, seventy-one million, nine hundred sixty thousand, five hundred".