13206612507660 has 1344 divisors, whose sum is σ = 50518355771520. Its totient is φ = 2872613652480.

The previous prime is 13206612507643. The next prime is 13206612507679. The reversal of 13206612507660 is 6670521660231.

13206612507660 is a `hidden beast` number, since 1 + 3 + 20 + 6 + 61 + 2 + 507 + 6 + 60 = 666.

It is a super-2 number, since 2×13206612507660² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 13037129314 + ... + 13037130326.

It is an arithmetic number, because the mean of its divisors is an integer number (37588062330).

Almost surely, 2^{13206612507660} is an apocalyptic number.

13206612507660 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 13206612507660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25259177885760).

13206612507660 is an abundant number, since it is smaller than the sum of its proper divisors (37311743263860).

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

13206612507660 is a wasteful number, since it uses less digits than its factorization.

13206612507660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13206612507660 in words is "thirteen trillion, two hundred six billion, six hundred twelve million, five hundred seven thousand, six hundred sixty".