138800805814880 has 192 divisors, whose sum is σ = 367747532683776. Its totient is φ = 49067963904000.

The previous prime is 138800805814849. The next prime is 138800805814943. The reversal of 138800805814880 is 88418508008831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17022845 + ... + 23819715.

It is an arithmetic number, because the mean of its divisors is an integer number (1915351732728).

Almost surely, 2^{138800805814880} is an apocalyptic number.

138800805814880 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 138800805814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183873766341888).

138800805814880 is an abundant number, since it is smaller than the sum of its proper divisors (228946726868896).

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

138800805814880 is a wasteful number, since it uses less digits than its factorization.

138800805814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797221 (or 6797213 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 62.

The spelling of 138800805814880 in words is "one hundred thirty-eight trillion, eight hundred billion, eight hundred five million, eight hundred fourteen thousand, eight hundred eighty".