96106587759 has 48 divisors (see below), whose sum is σ = 179848614400. Its totient is φ = 48025493568.

The previous prime is 96106587749. The next prime is 96106587827. The reversal of 96106587759 is 95778560169.

96106587759 is a `hidden beast` number, since 9 + 610 + 6 + 5 + 8 + 7 + 7 + 5 + 9 = 666.

It is not a de Polignac number, because 96106587759 - 2⁷ = 96106587631 is a prime.

It is a super-3 number, since 3×96106587759³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 96106587696 and 96106587705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96106587719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3072499 + ... + 3103620.

Almost surely, 2^96106587759 is an apocalyptic number.

96106587759 is a deficient number, since it is larger than the sum of its proper divisors (83742026641).

96106587759 is a wasteful number, since it uses less digits than its factorization.

96106587759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176164 (or 6176161 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

It can be divided in two parts, 96106 and 587759, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 96106587759 in words is "ninety-six billion, one hundred six million, five hundred eighty-seven thousand, seven hundred fifty-nine".