11960885260800 has 3840 divisors, whose sum is σ = 55238464512000. Its totient is φ = 2527425331200.

The previous prime is 11960885260789. The next prime is 11960885260837. The reversal of 11960885260800 is 806258806911.

It is a happy number.

11960885260800 is a `hidden beast` number, since 1 + 1 + 9 + 608 + 8 + 5 + 26 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 111783974347 + ... + 111783974453.

It is an arithmetic number, because the mean of its divisors is an integer number (14385016800).

Almost surely, 2^{11960885260800} is an apocalyptic number.

11960885260800 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 11960885260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619232256000).

11960885260800 is an abundant number, since it is smaller than the sum of its proper divisors (43277579251200).

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

11960885260800 is a wasteful number, since it uses less digits than its factorization.

11960885260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11960885260800 in words is "eleven trillion, nine hundred sixty billion, eight hundred eighty-five million, two hundred sixty thousand, eight hundred".