13292145355060 has 384 divisors, whose sum is σ = 34538161287168. Its totient is φ = 4232245248000.

The previous prime is 13292145355043. The next prime is 13292145355129. The reversal of 13292145355060 is 6055354129231.

It is a happy number.

It is a super-2 number, since 2×13292145355060² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13292145355060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585004500 + ... + 585027220.

It is an arithmetic number, because the mean of its divisors is an integer number (89943128352).

Almost surely, 2^{13292145355060} is an apocalyptic number.

13292145355060 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 13292145355060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269080643584).

13292145355060 is an abundant number, since it is smaller than the sum of its proper divisors (21246015932108).

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

13292145355060 is a wasteful number, since it uses less digits than its factorization.

13292145355060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22935 (or 22933 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 13292145355060 in words is "thirteen trillion, two hundred ninety-two billion, one hundred forty-five million, three hundred fifty-five thousand, sixty".