38661169485120 has 2688 divisors, whose sum is σ = 162726565478400. Its totient is φ = 7760452976640.

The previous prime is 38661169485119. The next prime is 38661169485149. The reversal of 38661169485120 is 2158496116683.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125932148007 + ... + 125932148313.

It is an arithmetic number, because the mean of its divisors is an integer number (60538156800).

Almost surely, 2^{38661169485120} is an apocalyptic number.

38661169485120 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 38661169485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81363282739200).

38661169485120 is an abundant number, since it is smaller than the sum of its proper divisors (124065395993280).

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

38661169485120 is a wasteful number, since it uses less digits than its factorization.

38661169485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 38661169485120 in words is "thirty-eight trillion, six hundred sixty-one billion, one hundred sixty-nine million, four hundred eighty-five thousand, one hundred twenty".