95994344160 has 480 divisors, whose sum is σ = 398015003232. Its totient is φ = 21480837120.

The previous prime is 95994344137. The next prime is 95994344203. The reversal of 95994344160 is 6144349959.

It is a happy number.

95994344160 is a `hidden beast` number, since 9 + 59 + 94 + 3 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×95994344160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 95994344097 and 95994344106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1827382 + ... + 1879178.

Almost surely, 2^95994344160 is an apocalyptic number.

95994344160 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 95994344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199007501616).

95994344160 is an abundant number, since it is smaller than the sum of its proper divisors (302020659072).

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

95994344160 is a wasteful number, since it uses less digits than its factorization.

95994344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51848 (or 51831 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 95994344160 in words is "ninety-five billion, nine hundred ninety-four million, three hundred forty-four thousand, one hundred sixty".