13262754879360 has 1280 divisors, whose sum is σ = 56121226444800. Its totient is φ = 2920829829120.

The previous prime is 13262754879347. The next prime is 13262754879371. The reversal of 13262754879360 is 6397845726231.

It is a happy number.

13262754879360 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 2 + 7 + 5 + 487 + 93 + 60 = 666.

13262754879360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2688575454 + ... + 2688580386.

It is an arithmetic number, because the mean of its divisors is an integer number (43844708160).

It is a 1-persistent number, because it is pandigital, but 2⋅13262754879360 = 26525509758720 is not.

Almost surely, 2^{13262754879360} is an apocalyptic number.

13262754879360 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 13262754879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28060613222400).

13262754879360 is an abundant number, since it is smaller than the sum of its proper divisors (42858471565440).

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

13262754879360 is a wasteful number, since it uses less digits than its factorization.

13262754879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 13262754879360 in words is "thirteen trillion, two hundred sixty-two billion, seven hundred fifty-four million, eight hundred seventy-nine thousand, three hundred sixty".