1825519728768 has 128 divisors (see below), whose sum is σ = 4934098713600. Its totient is φ = 597844177920.

The previous prime is 1825519728763. The next prime is 1825519728821. The reversal of 1825519728768 is 8678279155281.

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

It is not an unprimeable number, because it can be changed into a prime (1825519728763) 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, 40373053 + ... + 40418243.

It is an arithmetic number, because the mean of its divisors is an integer number (38547646200).

Almost surely, 2^{1825519728768} 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 1825519728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467049356800).

1825519728768 is an abundant number, since it is smaller than the sum of its proper divisors (3108578984832).

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

1825519728768 is a wasteful number, since it uses less digits than its factorization.

1825519728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47050 (or 47038 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 69.

The spelling of 1825519728768 in words is "one trillion, eight hundred twenty-five billion, five hundred nineteen million, seven hundred twenty-eight thousand, seven hundred sixty-eight".