11651981059296 has 480 divisors, whose sum is σ = 36005166556128. Its totient is φ = 3692542464000.

The previous prime is 11651981059237. The next prime is 11651981059297. The reversal of 11651981059296 is 69295018915611.

11651981059296 is a `hidden beast` number, since 1 + 1 + 6 + 519 + 8 + 105 + 9 + 2 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11651981059297) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1275806346 + ... + 1275815478.

Almost surely, 2^{11651981059296} is an apocalyptic number.

11651981059296 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 11651981059296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002583278064).

11651981059296 is an abundant number, since it is smaller than the sum of its proper divisors (24353185496832).

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

11651981059296 is a wasteful number, since it uses less digits than its factorization.

11651981059296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 63.

The spelling of 11651981059296 in words is "eleven trillion, six hundred fifty-one billion, nine hundred eighty-one million, fifty-nine thousand, two hundred ninety-six".