11474710808400 has 900 divisors, whose sum is σ = 48255967082268. Its totient is φ = 2603597230080.

The previous prime is 11474710808399. The next prime is 11474710808467. The reversal of 11474710808400 is 480801747411.

11474710808400 is a `hidden beast` number, since 11 + 474 + 7 + 10 + 80 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 151781926464 + 11322928881936 = 389592^2 + 3364956^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 217474822 + ... + 217527578.

Almost surely, 2^{11474710808400} is an apocalyptic number.

11474710808400 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 11474710808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127983541134).

11474710808400 is an abundant number, since it is smaller than the sum of its proper divisors (36781256273868).

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

11474710808400 is a wasteful number, since it uses less digits than its factorization.

11474710808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52938 (or 52911 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 11474710808400 in words is "eleven trillion, four hundred seventy-four billion, seven hundred ten million, eight hundred eight thousand, four hundred".