11474071607200 has 72 divisors (see below), whose sum is σ = 28012727219148. Its totient is φ = 4589358305280.

The previous prime is 11474071607197. The next prime is 11474071607209. The reversal of 11474071607200 is 270617047411.

It can be written as a sum of positive squares in 6 ways, for example, as 3955403664 + 11470116203536 = 62892^2 + 3386756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11474071607209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13452664 + ... + 14280136.

Almost surely, 2^{11474071607200} is an apocalyptic number.

11474071607200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11474071607200 is an abundant number, since it is smaller than the sum of its proper divisors (16538655611948).

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

11474071607200 is a wasteful number, since it uses less digits than its factorization.

11474071607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844826 (or 844813 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 11474071607200 in words is "eleven trillion, four hundred seventy-four billion, seventy-one million, six hundred seven thousand, two hundred".