38105201520 has 160 divisors (see below), whose sum is σ = 131495274240. Its totient is φ = 10142496000.

The previous prime is 38105201501. The next prime is 38105201521. The reversal of 38105201520 is 2510250183.

It is a happy number.

38105201520 is a `hidden beast` number, since 38 + 105 + 2 + 0 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105201521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165395 + ... + 1197645.

It is an arithmetic number, because the mean of its divisors is an integer number (821845464).

Almost surely, 2^38105201520 is an apocalyptic number.

38105201520 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 38105201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65747637120).

38105201520 is an abundant number, since it is smaller than the sum of its proper divisors (93390072720).

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

38105201520 is a wasteful number, since it uses less digits than its factorization.

38105201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32820 (or 32808 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 38105201520 in words is "thirty-eight billion, one hundred five million, two hundred one thousand, five hundred twenty".