13753255680 has 576 divisors, whose sum is σ = 52494825600. Its totient is φ = 3451797504.

The previous prime is 13753255631. The next prime is 13753255687. The reversal of 13753255680 is 8655235731.

13753255680 is a `hidden beast` number, since 1 + 3 + 7 + 532 + 55 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3060 × 1836 × 2448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13753255687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809015032 + ... + 809015048.

It is an arithmetic number, because the mean of its divisors is an integer number (91136850).

Almost surely, 2^13753255680 is an apocalyptic number.

13753255680 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 13753255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26247412800).

13753255680 is an abundant number, since it is smaller than the sum of its proper divisors (38741569920).

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

13753255680 is an frugal number, since it uses more digits than its factorization.

13753255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 13753255680 in words is "thirteen billion, seven hundred fifty-three million, two hundred fifty-five thousand, six hundred eighty".