38556335520 has 144 divisors (see below), whose sum is σ = 133239375360. Its totient is φ = 10151511552.

The previous prime is 38556335497. The next prime is 38556335527. The reversal of 38556335520 is 2553365583.

38556335520 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 633 + 5 + 5 + 2 + 0 = 666.

38556335520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38556335527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55704 + ... + 283223.

It is an arithmetic number, because the mean of its divisors is an integer number (925273440).

Almost surely, 2^38556335520 is an apocalyptic number.

38556335520 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 38556335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66619687680).

38556335520 is an abundant number, since it is smaller than the sum of its proper divisors (94683039840).

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

38556335520 is a wasteful number, since it uses less digits than its factorization.

38556335520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339027 (or 339016 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 38556335520 in words is "thirty-eight billion, five hundred fifty-six million, three hundred thirty-five thousand, five hundred twenty".