95989712067000 has 512 divisors, whose sum is σ = 352898154086400. Its totient is φ = 24053283072000.

The previous prime is 95989712066929. The next prime is 95989712067001. The reversal of 95989712067000 is 76021798959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95989712067001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 289463289 + ... + 289794711.

It is an arithmetic number, because the mean of its divisors is an integer number (689254207200).

Almost surely, 2^{95989712067000} is an apocalyptic number.

95989712067000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95989712067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176449077043200).

95989712067000 is an abundant number, since it is smaller than the sum of its proper divisors (256908442019400).

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

95989712067000 is a wasteful number, since it uses less digits than its factorization.

95989712067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332101 (or 332081 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 95989712067000 in words is "ninety-five trillion, nine hundred eighty-nine billion, seven hundred twelve million, sixty-seven thousand".