38857516104288 has 192 divisors, whose sum is σ = 119334355176960. Its totient is φ = 10839338237952.

The previous prime is 38857516104283. The next prime is 38857516104301. The reversal of 38857516104288 is 88240161575883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38857516104283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67822608 + ... + 68393136.

It is an arithmetic number, because the mean of its divisors is an integer number (621533099880).

Almost surely, 2^{38857516104288} 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 38857516104288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59667177588480).

38857516104288 is an abundant number, since it is smaller than the sum of its proper divisors (80476839072672).

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

38857516104288 is a wasteful number, since it uses less digits than its factorization.

38857516104288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572949 (or 572941 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 66.

The spelling of 38857516104288 in words is "thirty-eight trillion, eight hundred fifty-seven billion, five hundred sixteen million, one hundred four thousand, two hundred eighty-eight".