1159695696096 has 1296 divisors, whose sum is σ = 4452717906000. Its totient is φ = 294591209472.

The previous prime is 1159695696091. The next prime is 1159695696119. The reversal of 1159695696096 is 6906965969511.

1159695696096 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 6 + 9 + 5 + 6 + 9 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159695696091) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3322910130 + ... + 3322910478.

It is an arithmetic number, because the mean of its divisors is an integer number (3435739125).

Almost surely, 2^{1159695696096} is an apocalyptic number.

1159695696096 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 1159695696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226358953000).

1159695696096 is an abundant number, since it is smaller than the sum of its proper divisors (3293022209904).

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

1159695696096 is an equidigital number, since it uses as much as digits as its factorization.

1159695696096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 212576400, while the sum is 72.

The spelling of 1159695696096 in words is "one trillion, one hundred fifty-nine billion, six hundred ninety-five million, six hundred ninety-six thousand, ninety-six".