11682302400 has 252 divisors, whose sum is σ = 42307852392. Its totient is φ = 3056302080.

The previous prime is 11682302383. The next prime is 11682302431. The reversal of 11682302400 is 420328611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 755547 + ... + 770853.

Almost surely, 2^11682302400 is an apocalyptic number.

11682302400 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 11682302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153926196).

11682302400 is an abundant number, since it is smaller than the sum of its proper divisors (30625549992).

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

11682302400 is a wasteful number, since it uses less digits than its factorization.

11682302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15388 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11682302400 in words is "eleven billion, six hundred eighty-two million, three hundred two thousand, four hundred".