13431780010496 has 80 divisors (see below), whose sum is σ = 27108494775648. Its totient is φ = 6648058368000.

The previous prime is 13431780010489. The next prime is 13431780010499. The reversal of 13431780010496 is 69401008713431.

It is a self number, because there is not a number n which added to its sum of digits gives 13431780010496.

It is not an unprimeable number, because it can be changed into a prime (13431780010499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287650511 + ... + 287697201.

Almost surely, 2^{13431780010496} is an apocalyptic number.

13431780010496 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 13431780010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13554247387824).

13431780010496 is an abundant number, since it is smaller than the sum of its proper divisors (13676714765152).

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

13431780010496 is an equidigital number, since it uses as much as digits as its factorization.

13431780010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52373 (or 52357 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 13431780010496 in words is "thirteen trillion, four hundred thirty-one billion, seven hundred eighty million, ten thousand, four hundred ninety-six".