96406822080 has 840 divisors, whose sum is σ = 367111483200. Its totient is φ = 24006647808.

The previous prime is 96406822069. The next prime is 96406822087. The reversal of 96406822080 is 8022860469.

96406822080 is a `hidden beast` number, since 96 + 406 + 82 + 2 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96406822087) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1083222676 + ... + 1083222764.

It is an arithmetic number, because the mean of its divisors is an integer number (437037480).

Almost surely, 2^96406822080 is an apocalyptic number.

96406822080 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 96406822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183555741600).

96406822080 is an abundant number, since it is smaller than the sum of its proper divisors (270704661120).

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

96406822080 is a wasteful number, since it uses less digits than its factorization.

96406822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 96406822080 in words is "ninety-six billion, four hundred six million, eight hundred twenty-two thousand, eighty".