38517628913280 has 2304 divisors, whose sum is σ = 155640195809280. Its totient is φ = 9093366374400.

The previous prime is 38517628913261. The next prime is 38517628913297. The reversal of 38517628913280 is 8231982671583.

38517628913280 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 76 + 289 + 1 + 3 + 280 = 666.

It is a super-2 number, since 2×38517628913280² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169681184527 + ... + 169681184753.

It is an arithmetic number, because the mean of its divisors is an integer number (67552168320).

Almost surely, 2^{38517628913280} is an apocalyptic number.

38517628913280 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 38517628913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77820097904640).

38517628913280 is an abundant number, since it is smaller than the sum of its proper divisors (117122566896000).

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

38517628913280 is a wasteful number, since it uses less digits than its factorization.

38517628913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 38517628913280 in words is "thirty-eight trillion, five hundred seventeen billion, six hundred twenty-eight million, nine hundred thirteen thousand, two hundred eighty".