13455961680 has 320 divisors, whose sum is σ = 50547621888. Its totient is φ = 2895575040.

The previous prime is 13455961661. The next prime is 13455961681. The reversal of 13455961680 is 8616955431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455961681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1923469 + ... + 1930451.

Almost surely, 2^13455961680 is an apocalyptic number.

13455961680 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 13455961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25273810944).

13455961680 is an abundant number, since it is smaller than the sum of its proper divisors (37091660208).

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

13455961680 is a wasteful number, since it uses less digits than its factorization.

13455961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 13455961680 in words is "thirteen billion, four hundred fifty-five million, nine hundred sixty-one thousand, six hundred eighty".