13523354652672 has 260 divisors, whose sum is σ = 40655646766636. Its totient is φ = 4479055626240.

The previous prime is 13523354652671. The next prime is 13523354652697. The reversal of 13523354652672 is 27625645332531.

13523354652672 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 3 + 3 + 5 + 46 + 526 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4101499846656 + 9421854806016 = 2025216^2 + 3069504^2 .

It is a super-2 number, since 2×13523354652672² (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 not an unprimeable number, because it can be changed into a prime (13523354652671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51959022 + ... + 52218642.

Almost surely, 2^{13523354652672} is an apocalyptic number.

13523354652672 is a gapful number since it is divisible by the number (12) 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 13523354652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327823383318).

13523354652672 is an abundant number, since it is smaller than the sum of its proper divisors (27132292113964).

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

13523354652672 is an equidigital number, since it uses as much as digits as its factorization.

13523354652672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259814 (or 259783 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 54.

The spelling of 13523354652672 in words is "thirteen trillion, five hundred twenty-three billion, three hundred fifty-four million, six hundred fifty-two thousand, six hundred seventy-two".