95668549148160 has 960 divisors, whose sum is σ = 346551421664448. Its totient is φ = 25293243285504.

The previous prime is 95668549148153. The next prime is 95668549148209. The reversal of 95668549148160 is 6184194586659.

95668549148160 is a `hidden beast` number, since 9 + 5 + 6 + 6 + 8 + 54 + 91 + 481 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×95668549148160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 46599389694 + ... + 46599391746.

Almost surely, 2^{95668549148160} is an apocalyptic number.

95668549148160 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 95668549148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173275710832224).

95668549148160 is an abundant number, since it is smaller than the sum of its proper divisors (250882872516288).

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

95668549148160 is a wasteful number, since it uses less digits than its factorization.

95668549148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 95668549148160 in words is "ninety-five trillion, six hundred sixty-eight billion, five hundred forty-nine million, one hundred forty-eight thousand, one hundred sixty".