96171332400 has 2160 divisors, whose sum is σ = 445513172832. Its totient is φ = 19707494400.

The previous prime is 96171332377. The next prime is 96171332401. The reversal of 96171332400 is 423317169.

96171332400 is a `hidden beast` number, since 9 + 617 + 1 + 3 + 32 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96171332401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2599225182 + ... + 2599225218.

Almost surely, 2^96171332400 is an apocalyptic number.

96171332400 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 96171332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222756586416).

96171332400 is an abundant number, since it is smaller than the sum of its proper divisors (349341840432).

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

96171332400 is a wasteful number, since it uses less digits than its factorization.

96171332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 96171332400 its reverse (423317169), we get a palindrome (96594649569).

The spelling of 96171332400 in words is "ninety-six billion, one hundred seventy-one million, three hundred thirty-two thousand, four hundred".