13291042527400 has 192 divisors, whose sum is σ = 33885643680000. Its totient is φ = 4808096563200.

The previous prime is 13291042527379. The next prime is 13291042527473. The reversal of 13291042527400 is 472524019231.

13291042527400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13291042527400² (a number of 27 digits) contains 22 as substring.

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

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, 551552152 + ... + 551576248.

It is an arithmetic number, because the mean of its divisors is an integer number (176487727500).

Almost surely, 2^{13291042527400} is an apocalyptic number.

13291042527400 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 13291042527400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16942821840000).

13291042527400 is an abundant number, since it is smaller than the sum of its proper divisors (20594601152600).

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

13291042527400 is a wasteful number, since it uses less digits than its factorization.

13291042527400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25412 (or 25403 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13291042527400 in words is "thirteen trillion, two hundred ninety-one billion, forty-two million, five hundred twenty-seven thousand, four hundred".