96806662286040 has 768 divisors, whose sum is σ = 374244264576000. Its totient is φ = 22046706800640.

The previous prime is 96806662286023. The next prime is 96806662286071. The reversal of 96806662286040 is 4068226660869.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40521833166 + ... + 40521835554.

It is an arithmetic number, because the mean of its divisors is an integer number (487297219500).

Almost surely, 2^{96806662286040} is an apocalyptic number.

96806662286040 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 96806662286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187122132288000).

96806662286040 is an abundant number, since it is smaller than the sum of its proper divisors (277437602289960).

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

96806662286040 is a wasteful number, since it uses less digits than its factorization.

96806662286040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 96806662286040 in words is "ninety-six trillion, eight hundred six billion, six hundred sixty-two million, two hundred eighty-six thousand, forty".