9795809028096 has 1152 divisors, whose sum is σ = 37511673937920. Its totient is φ = 2391175987200.

The previous prime is 9795809028059. The next prime is 9795809028113. The reversal of 9795809028096 is 6908209085979.

It is a happy number.

9795809028096 is a `hidden beast` number, since 97 + 95 + 8 + 0 + 90 + 280 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1195919361 + ... + 1195927551.

It is an arithmetic number, because the mean of its divisors is an integer number (32562216960).

Almost surely, 2^{9795809028096} is an apocalyptic number.

9795809028096 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 9795809028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755836968960).

9795809028096 is an abundant number, since it is smaller than the sum of its proper divisors (27715864909824).

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

9795809028096 is a wasteful number, since it uses less digits than its factorization.

9795809028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 9795809028096 in words is "nine trillion, seven hundred ninety-five billion, eight hundred nine million, twenty-eight thousand, ninety-six".