13965557760 has 1024 divisors, whose sum is σ = 63416908800. Its totient is φ = 2831155200.

The previous prime is 13965557743. The next prime is 13965557773. The reversal of 13965557760 is 6775556931.

13965557760 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 5 + 5 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13965557697 and 13965557706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340623340 + ... + 340623380.

It is an arithmetic number, because the mean of its divisors is an integer number (61930575).

Almost surely, 2^13965557760 is an apocalyptic number.

13965557760 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 13965557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31708454400).

13965557760 is an abundant number, since it is smaller than the sum of its proper divisors (49451351040).

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

13965557760 is an equidigital number, since it uses as much as digits as its factorization.

13965557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 13965557760 in words is "thirteen billion, nine hundred sixty-five million, five hundred fifty-seven thousand, seven hundred sixty".