38955689592480 has 576 divisors, whose sum is σ = 141540417083520. Its totient is φ = 10006402646016.

The previous prime is 38955689592383. The next prime is 38955689592481. The reversal of 38955689592480 is 8429598655983.

38955689592480 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 5 + 6 + 89 + 59 + 2 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38955689592480.

It is not an unprimeable number, because it can be changed into a prime (38955689592481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1573128579 + ... + 1573153341.

It is an arithmetic number, because the mean of its divisors is an integer number (245729890770).

Almost surely, 2^{38955689592480} is an apocalyptic number.

38955689592480 is a gapful number since it is divisible by the number (30) 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 38955689592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70770208541760).

38955689592480 is an abundant number, since it is smaller than the sum of its proper divisors (102584727491040).

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

38955689592480 is a wasteful number, since it uses less digits than its factorization.

38955689592480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25278 (or 25235 counting only the distinct ones).

The product of its (nonzero) digits is 6718464000, while the sum is 81.

The spelling of 38955689592480 in words is "thirty-eight trillion, nine hundred fifty-five billion, six hundred eighty-nine million, five hundred ninety-two thousand, four hundred eighty".