13711953668480 has 512 divisors, whose sum is σ = 34793357414400. Its totient is φ = 5160718172160.

The previous prime is 13711953668477. The next prime is 13711953668489. The reversal of 13711953668480 is 8486635911731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13711953668489) 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, 58849586444 + ... + 58849586676.

It is an arithmetic number, because the mean of its divisors is an integer number (67955776200).

Almost surely, 2^{13711953668480} is an apocalyptic number.

13711953668480 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 13711953668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396678707200).

13711953668480 is an abundant number, since it is smaller than the sum of its proper divisors (21081403745920).

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

13711953668480 is a wasteful number, since it uses less digits than its factorization.

13711953668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 13711953668480 in words is "thirteen trillion, seven hundred eleven billion, nine hundred fifty-three million, six hundred sixty-eight thousand, four hundred eighty".