96941346419520 has 560 divisors, whose sum is σ = 354927542112000. Its totient is φ = 25105342279680.

The previous prime is 96941346419503. The next prime is 96941346419557. The reversal of 96941346419520 is 2591464314969.

96941346419520 is a `hidden beast` number, since 9 + 6 + 9 + 4 + 1 + 34 + 64 + 19 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124520431 + ... + 125296529.

Almost surely, 2^{96941346419520} is an apocalyptic number.

96941346419520 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 96941346419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177463771056000).

96941346419520 is an abundant number, since it is smaller than the sum of its proper divisors (257986195692480).

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

96941346419520 is a wasteful number, since it uses less digits than its factorization.

96941346419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776268 (or 776249 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 96941346419520 in words is "ninety-six trillion, nine hundred forty-one billion, three hundred forty-six million, four hundred nineteen thousand, five hundred twenty".