13548796320 has 96 divisors (see below), whose sum is σ = 42741518400. Its totient is φ = 3607695360.

The previous prime is 13548796253. The next prime is 13548796321. The reversal of 13548796320 is 2369784531.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13548796320.

It is not an unprimeable number, because it can be changed into a prime (13548796321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311256 + ... + 352104.

It is an arithmetic number, because the mean of its divisors is an integer number (445224150).

It is a 1-persistent number, because it is pandigital, but 2⋅13548796320 = 27097592640 is not.

Almost surely, 2^13548796320 is an apocalyptic number.

13548796320 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 13548796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370759200).

13548796320 is an abundant number, since it is smaller than the sum of its proper divisors (29192722080).

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

13548796320 is a wasteful number, since it uses less digits than its factorization.

13548796320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41558 (or 41550 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13548796320 in words is "thirteen billion, five hundred forty-eight million, seven hundred ninety-six thousand, three hundred twenty".