19105221920640 has 128 divisors (see below), whose sum is σ = 61668754790400. Its totient is φ = 5030235604992.

The previous prime is 19105221920633. The next prime is 19105221920647. The reversal of 19105221920640 is 4602912250191.

It is an interprime number because it is at equal distance from previous prime (19105221920633) and next prime (19105221920647).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 19105221920592 and 19105221920601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19105221920647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62827032 + ... + 63130391.

It is an arithmetic number, because the mean of its divisors is an integer number (481787146800).

Almost surely, 2^{19105221920640} is an apocalyptic number.

19105221920640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19105221920640 is an abundant number, since it is smaller than the sum of its proper divisors (42563532869760).

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

19105221920640 is a wasteful number, since it uses less digits than its factorization.

19105221920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125957524 (or 125957512 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 19105221920640 in words is "nineteen trillion, one hundred five billion, two hundred twenty-one million, nine hundred twenty thousand, six hundred forty".