138569850420480 has 1440 divisors, whose sum is σ = 512960027247360. Its totient is φ = 35695328624640.

The previous prime is 138569850420457. The next prime is 138569850420493. The reversal of 138569850420480 is 84024058965831.

138569850420480 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 69 + 8 + 50 + 42 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275486779909 + ... + 275486780411.

It is an arithmetic number, because the mean of its divisors is an integer number (356222241144).

Almost surely, 2^{138569850420480} is an apocalyptic number.

138569850420480 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 138569850420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256480013623680).

138569850420480 is an abundant number, since it is smaller than the sum of its proper divisors (374390176826880).

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

138569850420480 is a wasteful number, since it uses less digits than its factorization.

138569850420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 138569850420480 in words is "one hundred thirty-eight trillion, five hundred sixty-nine billion, eight hundred fifty million, four hundred twenty thousand, four hundred eighty".