13404584958960 has 640 divisors, whose sum is σ = 46467180410112. Its totient is φ = 3175464960000.

The previous prime is 13404584958907. The next prime is 13404584958997. The reversal of 13404584958960 is 6985948540431.

It is a junction number, because it is equal to n+sod(n) for n = 13404584958891 and 13404584958900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3785534790 + ... + 3785538330.

Almost surely, 2^{13404584958960} is an apocalyptic number.

13404584958960 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 13404584958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233590205056).

13404584958960 is an abundant number, since it is smaller than the sum of its proper divisors (33062595451152).

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

13404584958960 is a wasteful number, since it uses less digits than its factorization.

13404584958960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 66.

The spelling of 13404584958960 in words is "thirteen trillion, four hundred four billion, five hundred eighty-four million, nine hundred fifty-eight thousand, nine hundred sixty".