38509235527680 has 1344 divisors, whose sum is σ = 142009381118592. Its totient is φ = 9633477427200.

The previous prime is 38509235527669. The next prime is 38509235527681. The reversal of 38509235527680 is 8672553290583.

38509235527680 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 9 + 2 + 3 + 552 + 76 + 8 + 0 = 666.

38509235527680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38509235527680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38509235527681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165275688844 + ... + 165275689076.

Almost surely, 2^{38509235527680} is an apocalyptic number.

38509235527680 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 38509235527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71004690559296).

38509235527680 is an abundant number, since it is smaller than the sum of its proper divisors (103500145590912).

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

38509235527680 is a wasteful number, since it uses less digits than its factorization.

38509235527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 38509235527680 in words is "thirty-eight trillion, five hundred nine billion, two hundred thirty-five million, five hundred twenty-seven thousand, six hundred eighty".