38530948117500 has 360 divisors, whose sum is σ = 126402000012288. Its totient is φ = 10259765208000.

The previous prime is 38530948117489. The next prime is 38530948117507. The reversal of 38530948117500 is 571184903583.

38530948117500 is a `hidden beast` number, since 3 + 8 + 5 + 30 + 94 + 8 + 1 + 17 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38530948117507) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 414876069 + ... + 414968931.

Almost surely, 2^{38530948117500} is an apocalyptic number.

38530948117500 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 38530948117500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201000006144).

38530948117500 is an abundant number, since it is smaller than the sum of its proper divisors (87871051894788).

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

38530948117500 is an equidigital number, since it uses as much as digits as its factorization.

38530948117500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93585 (or 93556 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 38530948117500 in words is "thirty-eight trillion, five hundred thirty billion, nine hundred forty-eight million, one hundred seventeen thousand, five hundred".