13754071335480 has 512 divisors, whose sum is σ = 47950576128000. Its totient is φ = 3091389235200.

The previous prime is 13754071335467. The next prime is 13754071335481. The reversal of 13754071335480 is 8453317045731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13754071335481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8484929070 + ... + 8484930690.

It is an arithmetic number, because the mean of its divisors is an integer number (93653469000).

Almost surely, 2^{13754071335480} is an apocalyptic number.

13754071335480 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 13754071335480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975288064000).

13754071335480 is an abundant number, since it is smaller than the sum of its proper divisors (34196504792520).

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

13754071335480 is a wasteful number, since it uses less digits than its factorization.

13754071335480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 13754071335480 in words is "thirteen trillion, seven hundred fifty-four billion, seventy-one million, three hundred thirty-five thousand, four hundred eighty".