13456097280 has 180 divisors, whose sum is σ = 46648936152. Its totient is φ = 3588096000.

The previous prime is 13456097269. The next prime is 13456097309. The reversal of 13456097280 is 8279065431.

13456097280 is a `hidden beast` number, since 1 + 3 + 4 + 560 + 9 + 7 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728155 + ... + 746405.

It is a 1-persistent number, because it is pandigital, but 2⋅13456097280 = 26912194560 is not.

Almost surely, 2^13456097280 is an apocalyptic number.

13456097280 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 13456097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324468076).

13456097280 is an abundant number, since it is smaller than the sum of its proper divisors (33192838872).

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

13456097280 is an equidigital number, since it uses as much as digits as its factorization.

13456097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18290 (or 18261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13456097280 in words is "thirteen billion, four hundred fifty-six million, ninety-seven thousand, two hundred eighty".