13491196820640 has 3456 divisors, whose sum is σ = 65894107668480. Its totient is φ = 2567796940800.

The previous prime is 13491196820627. The next prime is 13491196820657. The reversal of 13491196820640 is 4602869119431.

13491196820640 is a `hidden beast` number, since 1 + 3 + 491 + 1 + 96 + 8 + 2 + 0 + 64 + 0 = 666.

13491196820640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12343271934 + ... + 12343273026.

It is an arithmetic number, because the mean of its divisors is an integer number (19066582080).

Almost surely, 2^{13491196820640} is an apocalyptic number.

13491196820640 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 13491196820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947053834240).

13491196820640 is an abundant number, since it is smaller than the sum of its proper divisors (52402910847840).

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

13491196820640 is a wasteful number, since it uses less digits than its factorization.

13491196820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 13491196820640 in words is "thirteen trillion, four hundred ninety-one billion, one hundred ninety-six million, eight hundred twenty thousand, six hundred forty".