13263947964540 has 768 divisors, whose sum is σ = 51931437465600. Its totient is φ = 2735710516224.

The previous prime is 13263947964517. The next prime is 13263947964541. The reversal of 13263947964540 is 4546974936231.

It is a happy number.

13263947964540 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 3 + 94 + 7 + 96 + 454 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13263947964541) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2233360891 + ... + 2233366829.

It is an arithmetic number, because the mean of its divisors is an integer number (67619059200).

Almost surely, 2^{13263947964540} is an apocalyptic number.

13263947964540 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 13263947964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25965718732800).

13263947964540 is an abundant number, since it is smaller than the sum of its proper divisors (38667489501060).

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

13263947964540 is a wasteful number, since it uses less digits than its factorization.

13263947964540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 13263947964540 in words is "thirteen trillion, two hundred sixty-three billion, nine hundred forty-seven million, nine hundred sixty-four thousand, five hundred forty".