13081698080640 has 896 divisors, whose sum is σ = 53660976652800. Its totient is φ = 2985981014016.

The previous prime is 13081698080623. The next prime is 13081698080653. The reversal of 13081698080640 is 4608089618031.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×13081698080640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2805422949 + ... + 2805427611.

Almost surely, 2^{13081698080640} is an apocalyptic number.

13081698080640 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 13081698080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830488326400).

13081698080640 is an abundant number, since it is smaller than the sum of its proper divisors (40579278572160).

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

13081698080640 is an frugal number, since it uses more digits than its factorization.

13081698080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13081698080640 in words is "thirteen trillion, eighty-one billion, six hundred ninety-eight million, eighty thousand, six hundred forty".