11964416000 has 256 divisors, whose sum is σ = 31406469120. Its totient is φ = 4541644800.

The previous prime is 11964415979. The next prime is 11964416003. The reversal of 11964416000 is 61446911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11964416003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94207937 + ... + 94208063.

It is an arithmetic number, because the mean of its divisors is an integer number (122681520).

Almost surely, 2^11964416000 is an apocalyptic number.

11964416000 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 11964416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703234560).

11964416000 is an abundant number, since it is smaller than the sum of its proper divisors (19442053120).

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

11964416000 is an frugal number, since it uses more digits than its factorization.

11964416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 11964416000 in words is "eleven billion, nine hundred sixty-four million, four hundred sixteen thousand".