11325976197120 has 1152 divisors, whose sum is σ = 43434404133120. Its totient is φ = 2712105123840.

The previous prime is 11325976197101. The next prime is 11325976197223. The reversal of 11325976197120 is 2179167952311.

11325976197120 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 5 + 9 + 7 + 619 + 7 + 12 + 0 = 666.

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

It is a congruent number.

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, 11093022210 + ... + 11093023230.

It is an arithmetic number, because the mean of its divisors is an integer number (37703475810).

Almost surely, 2^{11325976197120} is an apocalyptic number.

11325976197120 is a gapful number since it is divisible by the number (10) 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 11325976197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717202066560).

11325976197120 is an abundant number, since it is smaller than the sum of its proper divisors (32108427936000).

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

11325976197120 is a wasteful number, since it uses less digits than its factorization.

11325976197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 11325976197120 in words is "eleven trillion, three hundred twenty-five billion, nine hundred seventy-six million, one hundred ninety-seven thousand, one hundred twenty".