13126852417536 has 2304 divisors, whose sum is σ = 49775281920000. Its totient is φ = 3404579143680.

The previous prime is 13126852417529. The next prime is 13126852417559. The reversal of 13126852417536 is 63571425862131.

It is a happy number.

13126852417536 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 85 + 24 + 1 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×13126852417536² (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 191 ways as a sum of consecutive naturals, for example, 279294732265 + ... + 279294732311.

It is an arithmetic number, because the mean of its divisors is an integer number (21603855000).

Almost surely, 2^{13126852417536} is an apocalyptic number.

13126852417536 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 13126852417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24887640960000).

13126852417536 is an abundant number, since it is smaller than the sum of its proper divisors (36648429502464).

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

13126852417536 is a wasteful number, since it uses less digits than its factorization.

13126852417536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 95 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 13126852417536 in words is "thirteen trillion, one hundred twenty-six billion, eight hundred fifty-two million, four hundred seventeen thousand, five hundred thirty-six".