96840858441600 has 6912 divisors, whose sum is σ = 495070193479680. Its totient is φ = 18136627937280.

The previous prime is 96840858441589. The next prime is 96840858441601. The reversal of 96840858441600 is 614485804869.

96840858441600 is a `hidden beast` number, since 9 + 6 + 8 + 4 + 0 + 8 + 584 + 41 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×96840858441600² (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 not an unprimeable number, because it can be changed into a prime (96840858441601) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 434263939089 + ... + 434263939311.

It is an arithmetic number, because the mean of its divisors is an integer number (71624738640).

Almost surely, 2^{96840858441600} is an apocalyptic number.

96840858441600 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 96840858441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247535096739840).

96840858441600 is an abundant number, since it is smaller than the sum of its proper divisors (398229335038080).

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

96840858441600 is a wasteful number, since it uses less digits than its factorization.

96840858441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 96840858441600 in words is "ninety-six trillion, eight hundred forty billion, eight hundred fifty-eight million, four hundred forty-one thousand, six hundred".