38129254960 has 80 divisors (see below), whose sum is σ = 90504475200. Its totient is φ = 14935639040.

The previous prime is 38129254957. The next prime is 38129255093. The reversal of 38129254960 is 6945292183.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823794 + ... + 868846.

It is an arithmetic number, because the mean of its divisors is an integer number (1131305940).

Almost surely, 2^38129254960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38129254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45252237600).

38129254960 is an abundant number, since it is smaller than the sum of its proper divisors (52375220240).

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

38129254960 is a wasteful number, since it uses less digits than its factorization.

38129254960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45286 (or 45280 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 38129254960 in words is "thirty-eight billion, one hundred twenty-nine million, two hundred fifty-four thousand, nine hundred sixty".