13783084560 has 720 divisors, whose sum is σ = 58032464256. Its totient is φ = 2920845312.

The previous prime is 13783084541. The next prime is 13783084573. The reversal of 13783084560 is 6548038731.

13783084560 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 3 + 0 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13783084560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205717647 + ... + 205717713.

Almost surely, 2^13783084560 is an apocalyptic number.

13783084560 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 13783084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016232128).

13783084560 is an abundant number, since it is smaller than the sum of its proper divisors (44249379696).

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

13783084560 is an equidigital number, since it uses as much as digits as its factorization.

13783084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13783084560 in words is "thirteen billion, seven hundred eighty-three million, eighty-four thousand, five hundred sixty".