11936160000 has 540 divisors, whose sum is σ = 44742890192. Its totient is φ = 3172608000.

The previous prime is 11936159981. The next prime is 11936160013. The reversal of 11936160000 is 6163911.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879847 + ... + 38880153.

Almost surely, 2^11936160000 is an apocalyptic number.

11936160000 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 11936160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22371445096).

11936160000 is an abundant number, since it is smaller than the sum of its proper divisors (32806730192).

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

11936160000 is an frugal number, since it uses more digits than its factorization.

11936160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11936160000 in words is "eleven billion, nine hundred thirty-six million, one hundred sixty thousand".