13782322653120 has 1680 divisors, whose sum is σ = 59211563811840. Its totient is φ = 3030569385984.

The previous prime is 13782322653107. The next prime is 13782322653131. The reversal of 13782322653120 is 2135622328731.

It is a happy number.

13782322653120 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 2 + 322 + 6 + 5 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14106778072 + ... + 14106779048.

Almost surely, 2^{13782322653120} is an apocalyptic number.

13782322653120 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 13782322653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29605781905920).

13782322653120 is an abundant number, since it is smaller than the sum of its proper divisors (45429241158720).

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

13782322653120 is a wasteful number, since it uses less digits than its factorization.

13782322653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13782322653120 in words is "thirteen trillion, seven hundred eighty-two billion, three hundred twenty-two million, six hundred fifty-three thousand, one hundred twenty".