138426979680 has 288 divisors, whose sum is σ = 516112466688. Its totient is φ = 33506841600.

The previous prime is 138426979667. The next prime is 138426979681. The reversal of 138426979680 is 86979624831.

138426979680 is a `hidden beast` number, since 1 + 38 + 426 + 97 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×138426979680⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138426979681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10939117 + ... + 10951763.

It is an arithmetic number, because the mean of its divisors is an integer number (1792057176).

Almost surely, 2^138426979680 is an apocalyptic number.

138426979680 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 138426979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258056233344).

138426979680 is an abundant number, since it is smaller than the sum of its proper divisors (377685487008).

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

138426979680 is a wasteful number, since it uses less digits than its factorization.

138426979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13370 (or 13359 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 138426979680 in words is "one hundred thirty-eight billion, four hundred twenty-six million, nine hundred seventy-nine thousand, six hundred eighty".