13753246080 has 256 divisors, whose sum is σ = 50708851200. Its totient is φ = 3105472512.

The previous prime is 13753246057. The next prime is 13753246097. The reversal of 13753246080 is 8064235731.

It is a zygodrome in base 2.

It is a congruent number.

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, 1109356 + ... + 1121684.

It is an arithmetic number, because the mean of its divisors is an integer number (198081450).

Almost surely, 2^13753246080 is an apocalyptic number.

13753246080 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 13753246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354425600).

13753246080 is an abundant number, since it is smaller than the sum of its proper divisors (36955605120).

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

13753246080 is a wasteful number, since it uses less digits than its factorization.

13753246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 13753246080 in words is "thirteen billion, seven hundred fifty-three million, two hundred forty-six thousand, eighty".