960000000096 has 96 divisors (see below), whose sum is σ = 2545760248416. Its totient is φ = 316730880000.

The previous prime is 960000000061. The next prime is 960000000103. The reversal of 960000000096 is 690000000069.

It is a tau number, because it is divible by the number of its divisors (96).

960000000096 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34319556 + ... + 34347516.

It is an arithmetic number, because the mean of its divisors is an integer number (26518335921).

Almost surely, 2^960000000096 is an apocalyptic number.

960000000096 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 960000000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272880124208).

960000000096 is an abundant number, since it is smaller than the sum of its proper divisors (1585760248320).

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

960000000096 is a wasteful number, since it uses less digits than its factorization.

960000000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31616 (or 31608 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

It can be divided in two parts, 9600000000 and 96, that multiplied together give a square (921600000000 = 960000²).

The spelling of 960000000096 in words is "nine hundred sixty billion, ninety-six", and thus it is an aban number.