95666961600 has 588 divisors, whose sum is σ = 403393649904. Its totient is φ = 21864867840.

The previous prime is 95666961581. The next prime is 95666961629. The reversal of 95666961600 is 616966659.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8158942 + ... + 8170658.

Almost surely, 2^95666961600 is an apocalyptic number.

95666961600 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 95666961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201696824952).

95666961600 is an abundant number, since it is smaller than the sum of its proper divisors (307726688304).

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

95666961600 is a wasteful number, since it uses less digits than its factorization.

95666961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11764 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 95666961600 in words is "ninety-five billion, six hundred sixty-six million, nine hundred sixty-one thousand, six hundred".