1925771603328 has 192 divisors, whose sum is σ = 5560503137280. Its totient is φ = 639739161600.

The previous prime is 1925771603321. The next prime is 1925771603341. The reversal of 1925771603328 is 8233061775291.

1925771603328 is a `hidden beast` number, since 1 + 9 + 2 + 5 + 7 + 7 + 1 + 603 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925771603321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 500068603 + ... + 500072453.

It is an arithmetic number, because the mean of its divisors is an integer number (28960953840).

Almost surely, 2^{1925771603328} is an apocalyptic number.

1925771603328 is a gapful number since it is divisible by the number (18) 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 1925771603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780251568640).

1925771603328 is an abundant number, since it is smaller than the sum of its proper divisors (3634731533952).

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

1925771603328 is a wasteful number, since it uses less digits than its factorization.

1925771603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1925771603328 in words is "one trillion, nine hundred twenty-five billion, seven hundred seventy-one million, six hundred three thousand, three hundred twenty-eight".