11802664800 has 432 divisors, whose sum is σ = 44373066192. Its totient is φ = 2941747200.

The previous prime is 11802664787. The next prime is 11802664807. The reversal of 11802664800 is 846620811.

11802664800 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 2 + 6 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11802664807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25826172 + ... + 25826628.

It is an arithmetic number, because the mean of its divisors is an integer number (102715431).

Almost surely, 2^11802664800 is an apocalyptic number.

11802664800 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 11802664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186533096).

11802664800 is an abundant number, since it is smaller than the sum of its proper divisors (32570401392).

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

11802664800 is a wasteful number, since it uses less digits than its factorization.

11802664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11802664800 in words is "eleven billion, eight hundred two million, six hundred sixty-four thousand, eight hundred".