13126653540 has 864 divisors, whose sum is σ = 55631197440. Its totient is φ = 2436065280.

The previous prime is 13126653511. The next prime is 13126653563. The reversal of 13126653540 is 4535662131.

13126653540 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 66 + 53 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13126653495 and 13126653504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73333171 + ... + 73333349.

It is an arithmetic number, because the mean of its divisors is an integer number (64387960).

Almost surely, 2^13126653540 is an apocalyptic number.

13126653540 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 13126653540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815598720).

13126653540 is an abundant number, since it is smaller than the sum of its proper divisors (42504543900).

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

13126653540 is a wasteful number, since it uses less digits than its factorization.

13126653540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 13126 and 653540, that added together give a palindrome (666666).

The spelling of 13126653540 in words is "thirteen billion, one hundred twenty-six million, six hundred fifty-three thousand, five hundred forty".