11330678532096 has 768 divisors, whose sum is σ = 44308083456000. Its totient is φ = 2769896079360.

The previous prime is 11330678532071. The next prime is 11330678532097. The reversal of 11330678532096 is 69023587603311.

11330678532096 is a `hidden beast` number, since 1 + 1 + 3 + 30 + 6 + 78 + 532 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11330678532097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72304195 + ... + 72460733.

It is an arithmetic number, because the mean of its divisors is an integer number (57692817000).

Almost surely, 2^{11330678532096} is an apocalyptic number.

11330678532096 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 11330678532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154041728000).

11330678532096 is an abundant number, since it is smaller than the sum of its proper divisors (32977404923904).

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

11330678532096 is a wasteful number, since it uses less digits than its factorization.

11330678532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156605 (or 156579 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 11330678532096 in words is "eleven trillion, three hundred thirty billion, six hundred seventy-eight million, five hundred thirty-two thousand, ninety-six".