1905055732096 has 128 divisors (see below), whose sum is σ = 4389765840000. Its totient is φ = 813886709760.

The previous prime is 1905055732037. The next prime is 1905055732109. The reversal of 1905055732096 is 6902375505091.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17634855 + ... + 17742553.

It is an arithmetic number, because the mean of its divisors is an integer number (34295045625).

Almost surely, 2^{1905055732096} is an apocalyptic number.

1905055732096 is a gapful number since it is divisible by the number (16) 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 1905055732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194882920000).

1905055732096 is an abundant number, since it is smaller than the sum of its proper divisors (2484710107904).

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

1905055732096 is a wasteful number, since it uses less digits than its factorization.

1905055732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108480 (or 108468 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 52.

The spelling of 1905055732096 in words is "one trillion, nine hundred five billion, fifty-five million, seven hundred thirty-two thousand, ninety-six".