95078216103840 has 288 divisors, whose sum is σ = 333743419887696. Its totient is φ = 24630448619520.

The previous prime is 95078216103833. The next prime is 95078216103841. The reversal of 95078216103840 is 4830161287059.

95078216103840 is a `hidden beast` number, since 9 + 507 + 8 + 2 + 1 + 61 + 0 + 38 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93840061403664 + 1238154700176 = 9687108^2 + 1112724^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×95078216103840³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (95078216103841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32760514 + ... + 35544446.

It is a 2-persistent number, because it is pandigital, and so is 2⋅95078216103840 = 190156432207680, but 3⋅95078216103840 = 285234648311520 is not.

Almost surely, 2^{95078216103840} is an apocalyptic number.

95078216103840 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 95078216103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166871709943848).

95078216103840 is an abundant number, since it is smaller than the sum of its proper divisors (238665203783856).

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

95078216103840 is a wasteful number, since it uses less digits than its factorization.

95078216103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784632 (or 2784621 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 95078216103840 in words is "ninety-five trillion, seventy-eight billion, two hundred sixteen million, one hundred three thousand, eight hundred forty".