13282264875540 has 384 divisors, whose sum is σ = 38654990922240. Its totient is φ = 3406261248000.

The previous prime is 13282264875499. The next prime is 13282264875541. The reversal of 13282264875540 is 4557846228231.

It is a super-2 number, since 2×13282264875540² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13282264875541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10209272890 + ... + 10209274190.

It is an arithmetic number, because the mean of its divisors is an integer number (100664038860).

Almost surely, 2^{13282264875540} is an apocalyptic number.

13282264875540 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 13282264875540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327495461120).

13282264875540 is an abundant number, since it is smaller than the sum of its proper divisors (25372726046700).

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

13282264875540 is a wasteful number, since it uses less digits than its factorization.

13282264875540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 13282264875540 in words is "thirteen trillion, two hundred eighty-two billion, two hundred sixty-four million, eight hundred seventy-five thousand, five hundred forty".