11407603688320 has 256 divisors, whose sum is σ = 31764936516480. Its totient is φ = 3836213821440.

The previous prime is 11407603688287. The next prime is 11407603688401. The reversal of 11407603688320 is 2388630670411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180784290 + ... + 1180793950.

Almost surely, 2^{11407603688320} is an apocalyptic number.

11407603688320 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 11407603688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882468258240).

11407603688320 is an abundant number, since it is smaller than the sum of its proper divisors (20357332828160).

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

11407603688320 is an equidigital number, since it uses as much as digits as its factorization.

11407603688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713 (or 14701 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 11407603688320 in words is "eleven trillion, four hundred seven billion, six hundred three million, six hundred eighty-eight thousand, three hundred twenty".