11768217600 has 360 divisors, whose sum is σ = 39802205968. Its totient is φ = 3067084800.

The previous prime is 11768217589. The next prime is 11768217611. The reversal of 11768217600 is 671286711.

It is an interprime number because it is at equal distance from previous prime (11768217589) and next prime (11768217611).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74956722 + ... + 74956878.

Almost surely, 2^11768217600 is an apocalyptic number.

11768217600 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 11768217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901102984).

11768217600 is an abundant number, since it is smaller than the sum of its proper divisors (28033988368).

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

11768217600 is an equidigital number, since it uses as much as digits as its factorization.

11768217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 11768217600 in words is "eleven billion, seven hundred sixty-eight million, two hundred seventeen thousand, six hundred".