19475245897728 has 384 divisors, whose sum is σ = 53921018511360. Its totient is φ = 6246898237440.

The previous prime is 19475245897693. The next prime is 19475245897729. The reversal of 19475245897728 is 82779854257491.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19475245897729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5399290101 + ... + 5399293707.

It is an arithmetic number, because the mean of its divisors is an integer number (140419319040).

Almost surely, 2^{19475245897728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19475245897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26960509255680).

19475245897728 is an abundant number, since it is smaller than the sum of its proper divisors (34445772613632).

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

19475245897728 is a wasteful number, since it uses less digits than its factorization.

19475245897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3953 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 78.

The spelling of 19475245897728 in words is "nineteen trillion, four hundred seventy-five billion, two hundred forty-five million, eight hundred ninety-seven thousand, seven hundred twenty-eight".