38959160042880 has 7680 divisors, whose sum is σ = 202525229491200. Its totient is φ = 6937038028800.

The previous prime is 38959160042849. The next prime is 38959160042893. The reversal of 38959160042880 is 8824006195983.

38959160042880 is a `hidden beast` number, since 3 + 89 + 59 + 1 + 6 + 0 + 0 + 428 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 581480000607 + ... + 581480000673.

It is an arithmetic number, because the mean of its divisors is an integer number (26370472590).

Almost surely, 2^{38959160042880} is an apocalyptic number.

38959160042880 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 38959160042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101262614745600).

38959160042880 is an abundant number, since it is smaller than the sum of its proper divisors (163566069448320).

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

38959160042880 is a wasteful number, since it uses less digits than its factorization.

38959160042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 38959160042880 in words is "thirty-eight trillion, nine hundred fifty-nine billion, one hundred sixty million, forty-two thousand, eight hundred eighty".