98856378810880 has 320 divisors, whose sum is σ = 248027833202688. Its totient is φ = 37716622704640.

The previous prime is 98856378810877. The next prime is 98856378810883. The reversal of 98856378810880 is 8801887365889.

It is an interprime number because it is at equal distance from previous prime (98856378810877) and next prime (98856378810883).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 98856378810880.

It is not an unprimeable number, because it can be changed into a prime (98856378810883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40498310460 + ... + 40498312900.

Almost surely, 2^{98856378810880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98856378810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124013916601344).

98856378810880 is an abundant number, since it is smaller than the sum of its proper divisors (149171454391808).

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

98856378810880 is a wasteful number, since it uses less digits than its factorization.

98856378810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 79.

The spelling of 98856378810880 in words is "ninety-eight trillion, eight hundred fifty-six billion, three hundred seventy-eight million, eight hundred ten thousand, eight hundred eighty".