38661255521280 has 2112 divisors, whose sum is σ = 167092990248960. Its totient is φ = 8548036116480.

The previous prime is 38661255521279. The next prime is 38661255521281. The reversal of 38661255521280 is 8212555216683.

38661255521280 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 1 + 2 + 5 + 552 + 1 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (38661255521279) and next prime (38661255521281).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38661255521281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17008910224 + ... + 17008912496.

Almost surely, 2^{38661255521280} is an apocalyptic number.

38661255521280 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 38661255521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83546495124480).

38661255521280 is an abundant number, since it is smaller than the sum of its proper divisors (128431734727680).

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

38661255521280 is an equidigital number, since it uses as much as digits as its factorization.

38661255521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 38661255521280 in words is "thirty-eight trillion, six hundred sixty-one billion, two hundred fifty-five million, five hundred twenty-one thousand, two hundred eighty".