138053518274880 has 672 divisors, whose sum is σ = 558388860969600. Its totient is φ = 31983433777152.

The previous prime is 138053518274879. The next prime is 138053518274887. The reversal of 138053518274880 is 88472815350831.

138053518274880 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 5 + 351 + 8 + 274 + 8 + 8 + 0 = 666.

138053518274880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138053518274880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138053518274887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22041931 + ... + 27603509.

Almost surely, 2^{138053518274880} is an apocalyptic number.

138053518274880 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 138053518274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279194430484800).

138053518274880 is an abundant number, since it is smaller than the sum of its proper divisors (420335342694720).

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

138053518274880 is a wasteful number, since it uses less digits than its factorization.

138053518274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561648 (or 5561619 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 138053518274880 in words is "one hundred thirty-eight trillion, fifty-three billion, five hundred eighteen million, two hundred seventy-four thousand, eight hundred eighty".