11956800 has 168 divisors, whose sum is σ = 40818816. Its totient is φ = 3061760.

The previous prime is 11956759. The next prime is 11956801. The reversal of 11956800 is 865911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11956801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225574 + ... + 225626.

Almost surely, 2^11956800 is an apocalyptic number.

11956800 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 11956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409408).

11956800 is an abundant number, since it is smaller than the sum of its proper divisors (28862016).

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

11956800 is a wasteful number, since it uses less digits than its factorization.

11956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 11956800 is about 3457.8606102618. The cubic root of 11956800 is about 228.6677867538.

The spelling of 11956800 in words is "eleven million, nine hundred fifty-six thousand, eight hundred".