11961600000 has 576 divisors, whose sum is σ = 46065801600. Its totient is φ = 2703360000.

The previous prime is 11961599989. The next prime is 11961600011. The reversal of 11961600000 is 616911.

It is an interprime number because it is at equal distance from previous prime (11961599989) and next prime (11961600011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 134399956 + ... + 134400044.

It is an arithmetic number, because the mean of its divisors is an integer number (79975350).

Almost surely, 2^11961600000 is an apocalyptic number.

11961600000 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 11961600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23032900800).

11961600000 is an abundant number, since it is smaller than the sum of its proper divisors (34104201600).

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

11961600000 is an frugal number, since it uses more digits than its factorization.

11961600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 11961600000 in words is "eleven billion, nine hundred sixty-one million, six hundred thousand".