13745520320 has 112 divisors (see below), whose sum is σ = 38113581888. Its totient is φ = 4623790080.

The previous prime is 13745520301. The next prime is 13745520343. The reversal of 13745520320 is 2302554731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×13745520320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60830 + ... + 176610.

Almost surely, 2^13745520320 is an apocalyptic number.

13745520320 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 13745520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056790944).

13745520320 is an abundant number, since it is smaller than the sum of its proper divisors (24368061568).

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

13745520320 is a wasteful number, since it uses less digits than its factorization.

13745520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115858 (or 115848 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 13745520320 in words is "thirteen billion, seven hundred forty-five million, five hundred twenty thousand, three hundred twenty".