95934614638272 has 672 divisors, whose sum is σ = 277553517373440. Its totient is φ = 29167237693440.

The previous prime is 95934614638237. The next prime is 95934614638301. The reversal of 95934614638272 is 27283641643959.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 95934614638197 and 95934614638206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208101116122 + ... + 208101116582.

It is an arithmetic number, because the mean of its divisors is an integer number (413026067520).

Almost surely, 2^{95934614638272} is an apocalyptic number.

95934614638272 is a gapful number since it is divisible by the number (92) 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 95934614638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138776758686720).

95934614638272 is an abundant number, since it is smaller than the sum of its proper divisors (181618902735168).

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

95934614638272 is a wasteful number, since it uses less digits than its factorization.

95934614638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 838 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 69.

The spelling of 95934614638272 in words is "ninety-five trillion, nine hundred thirty-four billion, six hundred fourteen million, six hundred thirty-eight thousand, two hundred seventy-two".