13431506260896 has 192 divisors, whose sum is σ = 39919787591040. Its totient is φ = 4392098979840.

The previous prime is 13431506260889. The next prime is 13431506260897. The reversal of 13431506260896 is 69806260513431.

13431506260896 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 5 + 0 + 626 + 0 + 8 + 9 + 6 = 666.

It is a super-3 number, since 3×13431506260896³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13431506260897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448884016 + ... + 448913936.

It is an arithmetic number, because the mean of its divisors is an integer number (207915560370).

Almost surely, 2^{13431506260896} is an apocalyptic number.

13431506260896 is a gapful number since it is divisible by the number (16) 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 13431506260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959893795520).

13431506260896 is an abundant number, since it is smaller than the sum of its proper divisors (26488281330144).

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

13431506260896 is a wasteful number, since it uses less digits than its factorization.

13431506260896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39796 (or 39782 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13431506260896 in words is "thirteen trillion, four hundred thirty-one billion, five hundred six million, two hundred sixty thousand, eight hundred ninety-six".