11696140800 has 600 divisors, whose sum is σ = 44896094100. Its totient is φ = 3003678720.

The previous prime is 11696140763. The next prime is 11696140801. The reversal of 11696140800 is 804169611.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2854123776 + 8842017024 = 53424^2 + 94032^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×11696140800² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11696140801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 30067006 + ... + 30067394.

Almost surely, 2^11696140800 is an apocalyptic number.

11696140800 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 11696140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448047050).

11696140800 is an abundant number, since it is smaller than the sum of its proper divisors (33199953300).

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

11696140800 is an equidigital number, since it uses as much as digits as its factorization.

11696140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11696140800 in words is "eleven billion, six hundred ninety-six million, one hundred forty thousand, eight hundred".