1009608696096 has 288 divisors, whose sum is σ = 3621885357888. Its totient is φ = 242063861760.

The previous prime is 1009608696073. The next prime is 1009608696157. The reversal of 1009608696096 is 6906968069001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77775 + ... + 1423118.

It is an arithmetic number, because the mean of its divisors is an integer number (12575990826).

Almost surely, 2^{1009608696096} is an apocalyptic number.

1009608696096 is a gapful number since it is divisible by the number (16) 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 1009608696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810942678944).

1009608696096 is an abundant number, since it is smaller than the sum of its proper divisors (2612276661792).

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

1009608696096 is a wasteful number, since it uses less digits than its factorization.

1009608696096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500944 (or 1500929 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

It can be divided in two parts, 10096086 and 96096, that multiplied together give a square (970193480256 = 984984²).

The spelling of 1009608696096 in words is "one trillion, nine billion, six hundred eight million, six hundred ninety-six thousand, ninety-six".