38500116480 has 960 divisors, whose sum is σ = 166486320000. Its totient is φ = 8312979456.

The previous prime is 38500116451. The next prime is 38500116527. The reversal of 38500116480 is 8461100583.

38500116480 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 0 + 1 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 110315346 + ... + 110315694.

It is an arithmetic number, because the mean of its divisors is an integer number (173423250).

Almost surely, 2^38500116480 is an apocalyptic number.

38500116480 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 38500116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160000).

38500116480 is an abundant number, since it is smaller than the sum of its proper divisors (127986203520).

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

38500116480 is a wasteful number, since it uses less digits than its factorization.

38500116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 38500116480 in words is "thirty-eight billion, five hundred million, one hundred sixteen thousand, four hundred eighty".