96840870287616 has 1296 divisors, whose sum is σ = 363692043886080. Its totient is φ = 24537144360960.

The previous prime is 96840870287503. The next prime is 96840870287633. The reversal of 96840870287616 is 61678207804869.

96840870287616 is a `hidden beast` number, since 9 + 68 + 408 + 70 + 2 + 87 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6324087576 + ... + 6324102888.

Almost surely, 2^{96840870287616} is an apocalyptic number.

96840870287616 is a gapful number since it is divisible by the number (96) 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 96840870287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181846021943040).

96840870287616 is an abundant number, since it is smaller than the sum of its proper divisors (266851173598464).

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

96840870287616 is a wasteful number, since it uses less digits than its factorization.

96840870287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15532 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 96840870287616 in words is "ninety-six trillion, eight hundred forty billion, eight hundred seventy million, two hundred eighty-seven thousand, six hundred sixteen".