1765938000996 has 243 divisors, whose sum is σ = 5027312570553. Its totient is φ = 542504420640.

The previous prime is 1765938000991. The next prime is 1765938001019. The reversal of 1765938000996 is 6990008395671.

The square root of 1765938000996 is 1328886.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 261233432100 + 1504704568896 = 511110^2 + 1226664^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not an unprimeable number, because it can be changed into a prime (1765938000991) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2798633601 + ... + 2798634231.

Almost surely, 2^{1765938000996} is an apocalyptic number.

1765938000996 is the 1328886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1765938000996

1765938000996 is an abundant number, since it is smaller than the sum of its proper divisors (3261374569557).

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

1765938000996 is an frugal number, since it uses more digits than its factorization.

1765938000996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1765938000996 in words is "one trillion, seven hundred sixty-five billion, nine hundred thirty-eight million, nine hundred ninety-six", and thus it is an aban number.