138858085598960 has 1280 divisors, whose sum is σ = 438073961472000. Its totient is φ = 39729218715648.

The previous prime is 138858085598957. The next prime is 138858085599001. The reversal of 138858085598960 is 69895580858831.

It is a Harshad number since it is a multiple of its sum of digits (83).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45542171516 + ... + 45542174564.

It is an arithmetic number, because the mean of its divisors is an integer number (342245282400).

Almost surely, 2^{138858085598960} is an apocalyptic number.

138858085598960 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 138858085598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219036980736000).

138858085598960 is an abundant number, since it is smaller than the sum of its proper divisors (299215875873040).

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

138858085598960 is a wasteful number, since it uses less digits than its factorization.

138858085598960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 5971968000, while the sum is 83.

The spelling of 138858085598960 in words is "one hundred thirty-eight trillion, eight hundred fifty-eight billion, eighty-five million, five hundred ninety-eight thousand, nine hundred sixty".