96434827776000 has 4992 divisors, whose sum is σ = 453132221967360. Its totient is φ = 19747307520000.

The previous prime is 96434827775977. The next prime is 96434827776037. The reversal of 96434827776000 is 67772843469.

It is a happy number.

96434827776000 is a `hidden beast` number, since 96 + 4 + 3 + 482 + 7 + 7 + 7 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×96434827776000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1580898815970 + ... + 1580898816030.

It is an arithmetic number, because the mean of its divisors is an integer number (90771679080).

Almost surely, 2^{96434827776000} is an apocalyptic number.

96434827776000 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 96434827776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226566110983680).

96434827776000 is an abundant number, since it is smaller than the sum of its proper divisors (356697394191360).

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

96434827776000 is a wasteful number, since it uses less digits than its factorization.

96434827776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 96434827776000 in words is "ninety-six trillion, four hundred thirty-four billion, eight hundred twenty-seven million, seven hundred seventy-six thousand".