13781560320 has 1056 divisors, whose sum is σ = 57939598080. Its totient is φ = 3105423360.

The previous prime is 13781560223. The next prime is 13781560333. The reversal of 13781560320 is 2306518731.

13781560320 is a `hidden beast` number, since 1 + 3 + 78 + 1 + 560 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×13781560320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260029414 + ... + 260029466.

Almost surely, 2^13781560320 is an apocalyptic number.

13781560320 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 13781560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28969799040).

13781560320 is an abundant number, since it is smaller than the sum of its proper divisors (44158037760).

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

13781560320 is a wasteful number, since it uses less digits than its factorization.

13781560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 137815 and 60320, that added together give a triangular number (198135 = T₆₂₉).

The spelling of 13781560320 in words is "thirteen billion, seven hundred eighty-one million, five hundred sixty thousand, three hundred twenty".