11882516535 has 96 divisors (see below), whose sum is σ = 22132131840. Its totient is φ = 6109603200.

The previous prime is 11882516497. The next prime is 11882516549. The reversal of 11882516535 is 53561528811.

11882516535 is a `hidden beast` number, since 1 + 1 + 8 + 82 + 516 + 53 + 5 = 666.

It is not a de Polignac number, because 11882516535 - 2⁷ = 11882516407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14651280 + ... + 14652090.

It is an arithmetic number, because the mean of its divisors is an integer number (230543040).

Almost surely, 2^11882516535 is an apocalyptic number.

11882516535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11882516535 is a deficient number, since it is larger than the sum of its proper divisors (10249615305).

11882516535 is an equidigital number, since it uses as much as digits as its factorization.

11882516535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The spelling of 11882516535 in words is "eleven billion, eight hundred eighty-two million, five hundred sixteen thousand, five hundred thirty-five".