13545263309760 has 2016 divisors, whose sum is σ = 60146607306240. Its totient is φ = 2840996560896.

The previous prime is 13545263309749. The next prime is 13545263309761. The reversal of 13545263309760 is 6790336254531.

13545263309760 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 263 + 309 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×13545263309760² (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 junction number, because it is equal to n+sod(n) for n = 13545263309697 and 13545263309706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13545263309761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21065727999 + ... + 21065728641.

It is an arithmetic number, because the mean of its divisors is an integer number (29834626640).

Almost surely, 2^{13545263309760} is an apocalyptic number.

13545263309760 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 13545263309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073303653120).

13545263309760 is an abundant number, since it is smaller than the sum of its proper divisors (46601343996480).

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

13545263309760 is a wasteful number, since it uses less digits than its factorization.

13545263309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 13545263309760 in words is "thirteen trillion, five hundred forty-five billion, two hundred sixty-three million, three hundred nine thousand, seven hundred sixty".