95829457968 has 100 divisors (see below), whose sum is σ = 277427410920. Its totient is φ = 31935188736.

The previous prime is 95829457967. The next prime is 95829458017. The reversal of 95829457968 is 86975492859.

95829457968 is a `hidden beast` number, since 9 + 5 + 82 + 9 + 457 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 95829457896 and 95829457905.

It is not an unprimeable number, because it can be changed into a prime (95829457967) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7636243 + ... + 7648781.

Almost surely, 2^95829457968 is an apocalyptic number.

It is an amenable number.

95829457968 is an abundant number, since it is smaller than the sum of its proper divisors (181597952952).

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

95829457968 is a wasteful number, since it uses less digits than its factorization.

95829457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456 (or 18441 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 95829457968 in words is "ninety-five billion, eight hundred twenty-nine million, four hundred fifty-seven thousand, nine hundred sixty-eight".