13453896960 has 576 divisors, whose sum is σ = 57454387200. Its totient is φ = 2912329728.

The previous prime is 13453896959. The next prime is 13453896961. The reversal of 13453896960 is 6969835431.

13453896960 is a `hidden beast` number, since 13 + 4 + 538 + 9 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13453896959) and next prime (13453896961).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 13453896897 and 13453896906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453896961) 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, 4595017 + ... + 4597943.

It is an arithmetic number, because the mean of its divisors is an integer number (99747200).

Almost surely, 2^13453896960 is an apocalyptic number.

13453896960 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 13453896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28727193600).

13453896960 is an abundant number, since it is smaller than the sum of its proper divisors (44000490240).

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

13453896960 is a wasteful number, since it uses less digits than its factorization.

13453896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13453896960 in words is "thirteen billion, four hundred fifty-three million, eight hundred ninety-six thousand, nine hundred sixty".