13530860275968 has 1296 divisors, whose sum is σ = 47969059634496. Its totient is φ = 3792438558720.

The previous prime is 13530860275879. The next prime is 13530860275969. The reversal of 13530860275968 is 86957206803531.

13530860275968 is a `hidden beast` number, since 1 + 3 + 5 + 30 + 8 + 6 + 0 + 2 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×13530860275968² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13530860275969) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56144648328 + ... + 56144648568.

Almost surely, 2^{13530860275968} is an apocalyptic number.

13530860275968 is a gapful number since it is divisible by the number (18) 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 13530860275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984529817248).

13530860275968 is an abundant number, since it is smaller than the sum of its proper divisors (34438199358528).

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

13530860275968 is a wasteful number, since it uses less digits than its factorization.

13530860275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 13530860275968 in words is "thirteen trillion, five hundred thirty billion, eight hundred sixty million, two hundred seventy-five thousand, nine hundred sixty-eight".