2005763529875 has 32 divisors (see below), whose sum is σ = 2892935710080. Its totient is φ = 1359926937600.

The previous prime is 2005763529817. The next prime is 2005763529877. The reversal of 2005763529875 is 5789253675002.

It is not a de Polignac number, because 2005763529875 - 2²⁰ = 2005762481299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005763529877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12800222 + ... + 12955971.

It is an arithmetic number, because the mean of its divisors is an integer number (90404240940).

Almost surely, 2^{2005763529875} is an apocalyptic number.

2005763529875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005763529875 is a deficient number, since it is larger than the sum of its proper divisors (887172180205).

2005763529875 is an equidigital number, since it uses as much as digits as its factorization.

2005763529875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25756304 (or 25756294 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 59.

The spelling of 2005763529875 in words is "two trillion, five billion, seven hundred sixty-three million, five hundred twenty-nine thousand, eight hundred seventy-five".