95968764023040 has 1728 divisors, whose sum is σ = 388132612358400. Its totient is φ = 22560088522752.

The previous prime is 95968764023009. The next prime is 95968764023051. The reversal of 95968764023040 is 4032046786959.

95968764023040 is a `hidden beast` number, since 9 + 5 + 96 + 8 + 76 + 402 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×95968764023040³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8941461514 + ... + 8941472246.

It is an arithmetic number, because the mean of its divisors is an integer number (224613780300).

Almost surely, 2^{95968764023040} is an apocalyptic number.

95968764023040 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 95968764023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194066306179200).

95968764023040 is an abundant number, since it is smaller than the sum of its proper divisors (292163848335360).

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

95968764023040 is a wasteful number, since it uses less digits than its factorization.

95968764023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 95968764023040 in words is "ninety-five trillion, nine hundred sixty-eight billion, seven hundred sixty-four million, twenty-three thousand, forty".