94953116160 has 480 divisors, whose sum is σ = 386336522880. Its totient is φ = 21654577152.

The previous prime is 94953116117. The next prime is 94953116197. The reversal of 94953116160 is 6161135949.

94953116160 is a `hidden beast` number, since 9 + 49 + 531 + 16 + 1 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 214340899 + ... + 214341341.

It is an arithmetic number, because the mean of its divisors is an integer number (804867756).

Almost surely, 2^94953116160 is an apocalyptic number.

94953116160 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 94953116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193168261440).

94953116160 is an abundant number, since it is smaller than the sum of its proper divisors (291383406720).

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

94953116160 is an frugal number, since it uses more digits than its factorization.

94953116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 94953116160 in words is "ninety-four billion, nine hundred fifty-three million, one hundred sixteen thousand, one hundred sixty".