38528504174160 has 5760 divisors, whose sum is σ = 198681363578880. Its totient is φ = 6731005132800.

The previous prime is 38528504174159. The next prime is 38528504174189. The reversal of 38528504174160 is 6147140582583.

It is a happy number.

38528504174160 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 8 + 504 + 1 + 74 + 1 + 60 = 666.

It is a super-2 number, since 2×38528504174160² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38528504174097 and 38528504174106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1242854973345 + ... + 1242854973375.

It is an arithmetic number, because the mean of its divisors is an integer number (34493292288).

Almost surely, 2^{38528504174160} is an apocalyptic number.

38528504174160 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 38528504174160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99340681789440).

38528504174160 is an abundant number, since it is smaller than the sum of its proper divisors (160152859404720).

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

38528504174160 is a wasteful number, since it uses less digits than its factorization.

38528504174160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 38528504174160 in words is "thirty-eight trillion, five hundred twenty-eight billion, five hundred four million, one hundred seventy-four thousand, one hundred sixty".