95994165953376 has 288 divisors, whose sum is σ = 288432282378240. Its totient is φ = 30236313139200.

The previous prime is 95994165953369. The next prime is 95994165953381. The reversal of 95994165953376 is 67335956149959.

95994165953376 is a `hidden beast` number, since 9 + 5 + 9 + 9 + 4 + 1 + 6 + 5 + 9 + 533 + 76 = 666.

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

It is a super-2 number, since 2×95994165953376² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95994165953295 and 95994165953304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289496316 + ... + 1289570756.

It is an arithmetic number, because the mean of its divisors is an integer number (1001500980480).

Almost surely, 2^{95994165953376} is an apocalyptic number.

95994165953376 is a gapful number since it is divisible by the number (96) 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 95994165953376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144216141189120).

95994165953376 is an abundant number, since it is smaller than the sum of its proper divisors (192438116424864).

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

95994165953376 is a wasteful number, since it uses less digits than its factorization.

95994165953376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77890 (or 77879 counting only the distinct ones).

The product of its digits is 7440174000, while the sum is 81.

The spelling of 95994165953376 in words is "ninety-five trillion, nine hundred ninety-four billion, one hundred sixty-five million, nine hundred fifty-three thousand, three hundred seventy-six".