13540746683040 has 192 divisors, whose sum is σ = 42870774127104. Its totient is φ = 3592502903808.

The previous prime is 13540746683029. The next prime is 13540746683059. The reversal of 13540746683040 is 4038664704531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80521927 + ... + 80689913.

It is an arithmetic number, because the mean of its divisors is an integer number (223285281912).

Almost surely, 2^{13540746683040} is an apocalyptic number.

13540746683040 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 13540746683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21435387063552).

13540746683040 is an abundant number, since it is smaller than the sum of its proper divisors (29330027444064).

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

13540746683040 is a wasteful number, since it uses less digits than its factorization.

13540746683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168859 (or 168851 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 13540746683040 in words is "thirteen trillion, five hundred forty billion, seven hundred forty-six million, six hundred eighty-three thousand, forty".