11882297600 has 216 divisors, whose sum is σ = 30876643560. Its totient is φ = 4521000960.

The previous prime is 11882297599. The next prime is 11882297633. The reversal of 11882297600 is 679228811.

It can be written as a sum of positive squares in 12 ways, for example, as 1036324864 + 10845972736 = 32192^2 + 104144^2 .

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, 13548362 + ... + 13549238.

Almost surely, 2^11882297600 is an apocalyptic number.

11882297600 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 11882297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438321780).

11882297600 is an abundant number, since it is smaller than the sum of its proper divisors (18994345960).

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

11882297600 is an equidigital number, since it uses as much as digits as its factorization.

11882297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 11882297600 in words is "eleven billion, eight hundred eighty-two million, two hundred ninety-seven thousand, six hundred".