96868154880 has 960 divisors, whose sum is σ = 411610351680. Its totient is φ = 21515010048.

The previous prime is 96868154813. The next prime is 96868154881. The reversal of 96868154880 is 8845186869.

96868154880 is a `hidden beast` number, since 9 + 6 + 8 + 6 + 8 + 1 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (96868154881) 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 95 ways as a sum of consecutive naturals, for example, 125314174 + ... + 125314946.

It is an arithmetic number, because the mean of its divisors is an integer number (428760783).

Almost surely, 2^96868154880 is an apocalyptic number.

96868154880 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 96868154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205805175840).

96868154880 is an abundant number, since it is smaller than the sum of its proper divisors (314742196800).

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

96868154880 is a wasteful number, since it uses less digits than its factorization.

96868154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 96868154880 in words is "ninety-six billion, eight hundred sixty-eight million, one hundred fifty-four thousand, eight hundred eighty".