38139335164080 has 240 divisors, whose sum is σ = 132845192363520. Its totient is φ = 10169209338624.

The previous prime is 38139335164067. The next prime is 38139335164087. The reversal of 38139335164080 is 8046153393183.

38139335164080 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 9 + 3 + 3 + 516 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (38139335164087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159658009 + ... + 159896711.

It is an arithmetic number, because the mean of its divisors is an integer number (553521634848).

Almost surely, 2^{38139335164080} is an apocalyptic number.

38139335164080 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 38139335164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66422596181760).

38139335164080 is an abundant number, since it is smaller than the sum of its proper divisors (94705857199440).

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

38139335164080 is a wasteful number, since it uses less digits than its factorization.

38139335164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246950 (or 246932 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 38139335164080 in words is "thirty-eight trillion, one hundred thirty-nine billion, three hundred thirty-five million, one hundred sixty-four thousand, eighty".