13256504358240 has 384 divisors, whose sum is σ = 49127710464000. Its totient is φ = 2962295562240.

The previous prime is 13256504358233. The next prime is 13256504358259. The reversal of 13256504358240 is 4285340565231.

It is a super-2 number, since 2×13256504358240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13256504358240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48529561 + ... + 48801959.

It is an arithmetic number, because the mean of its divisors is an integer number (127936746000).

Almost surely, 2^{13256504358240} is an apocalyptic number.

13256504358240 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 13256504358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563855232000).

13256504358240 is an abundant number, since it is smaller than the sum of its proper divisors (35871206105760).

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

13256504358240 is a wasteful number, since it uses less digits than its factorization.

13256504358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273150 (or 273142 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 13256504358240 in words is "thirteen trillion, two hundred fifty-six billion, five hundred four million, three hundred fifty-eight thousand, two hundred forty".