138022610880 has 896 divisors, whose sum is σ = 564532125696. Its totient is φ = 27740160000.

The previous prime is 138022610861. The next prime is 138022610899. The reversal of 138022610880 is 88016220831.

It is an interprime number because it is at equal distance from previous prime (138022610861) and next prime (138022610899).

It is a super-2 number, since 2×138022610880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549890755 + ... + 549891005.

It is an arithmetic number, because the mean of its divisors is an integer number (630058176).

Almost surely, 2^138022610880 is an apocalyptic number.

138022610880 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 138022610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282266062848).

138022610880 is an abundant number, since it is smaller than the sum of its proper divisors (426509514816).

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

138022610880 is a wasteful number, since it uses less digits than its factorization.

138022610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 138022610880 in words is "one hundred thirty-eight billion, twenty-two million, six hundred ten thousand, eight hundred eighty".