38520190380816 has 200 divisors, whose sum is σ = 112222191379584. Its totient is φ = 12755611365120.

The previous prime is 38520190380799. The next prime is 38520190380817. The reversal of 38520190380816 is 61808309102583.

38520190380816 is a `hidden beast` number, since 3 + 8 + 520 + 1 + 9 + 0 + 38 + 0 + 81 + 6 = 666.

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 (38520190380817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1131897721 + ... + 1131931751.

Almost surely, 2^{38520190380816} is an apocalyptic number.

38520190380816 is a gapful number since it is divisible by the number (36) 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 38520190380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56111095689792).

38520190380816 is an abundant number, since it is smaller than the sum of its proper divisors (73702000998768).

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

38520190380816 is a wasteful number, since it uses less digits than its factorization.

38520190380816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39771 (or 39756 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 38520190380816 in words is "thirty-eight trillion, five hundred twenty billion, one hundred ninety million, three hundred eighty thousand, eight hundred sixteen".