13311027590400 has 648 divisors, whose sum is σ = 47831209466040. Its totient is φ = 3531669504000.

The previous prime is 13311027590383. The next prime is 13311027590407. The reversal of 13311027590400 is 409572011331.

13311027590400 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 0 + 27 + 590 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9262819206144 + 4048208384256 = 3043488^2 + 2012016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311027590407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15108997960 + ... + 15108998840.

It is an arithmetic number, because the mean of its divisors is an integer number (73813594855).

Almost surely, 2^{13311027590400} is an apocalyptic number.

13311027590400 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 13311027590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23915604733020).

13311027590400 is an abundant number, since it is smaller than the sum of its proper divisors (34520181875640).

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

13311027590400 is a wasteful number, since it uses less digits than its factorization.

13311027590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13311027590400 in words is "thirteen trillion, three hundred eleven billion, twenty-seven million, five hundred ninety thousand, four hundred".