95682667207680 has 2112 divisors, whose sum is σ = 398394393126912. Its totient is φ = 20778626580480.

The previous prime is 95682667207669. The next prime is 95682667207759. The reversal of 95682667207680 is 8670276628659.

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 = 95682667207599 and 95682667207608.

It is a congruent number.

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, 121578992247 + ... + 121578993033.

Almost surely, 2^{95682667207680} is an apocalyptic number.

95682667207680 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 95682667207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199197196563456).

95682667207680 is an abundant number, since it is smaller than the sum of its proper divisors (302711725919232).

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

95682667207680 is a wasteful number, since it uses less digits than its factorization.

95682667207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 95682667207680 in words is "ninety-five trillion, six hundred eighty-two billion, six hundred sixty-seven million, two hundred seven thousand, six hundred eighty".