11407112063600 has 240 divisors, whose sum is σ = 30214081710720. Its totient is φ = 4104105600000.

The previous prime is 11407112063593. The next prime is 11407112063647. The reversal of 11407112063600 is 636021170411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698144231 + ... + 698160569.

It is an arithmetic number, because the mean of its divisors is an integer number (125892007128).

Almost surely, 2^{11407112063600} is an apocalyptic number.

11407112063600 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 11407112063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107040855360).

11407112063600 is an abundant number, since it is smaller than the sum of its proper divisors (18806969647120).

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

11407112063600 is a wasteful number, since it uses less digits than its factorization.

11407112063600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040 (or 18029 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 11407112063600 in words is "eleven trillion, four hundred seven billion, one hundred twelve million, sixty-three thousand, six hundred".