13545461760 has 384 divisors, whose sum is σ = 47646144000. Its totient is φ = 3269984256.

The previous prime is 13545461729. The next prime is 13545461821. The reversal of 13545461760 is 6716454531.

It is a tau number, because it is divible by the number of its divisors (384).

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, 13424136 + ... + 13425144.

It is an arithmetic number, because the mean of its divisors is an integer number (124078500).

Almost surely, 2^13545461760 is an apocalyptic number.

13545461760 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 13545461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23823072000).

13545461760 is an abundant number, since it is smaller than the sum of its proper divisors (34100682240).

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

13545461760 is a wasteful number, since it uses less digits than its factorization.

13545461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13545461760 in words is "thirteen billion, five hundred forty-five million, four hundred sixty-one thousand, seven hundred sixty".