38124815564160 has 1536 divisors, whose sum is σ = 150858343209600. Its totient is φ = 9204474839040.

The previous prime is 38124815564159. The next prime is 38124815564167. The reversal of 38124815564160 is 6146551842183.

38124815564160 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 4 + 8 + 15 + 564 + 1 + 60 = 666.

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 = 38124815564097 and 38124815564106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38124815564167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12536932240 + ... + 12536935280.

Almost surely, 2^{38124815564160} is an apocalyptic number.

38124815564160 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 38124815564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75429171604800).

38124815564160 is an abundant number, since it is smaller than the sum of its proper divisors (112733527645440).

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

38124815564160 is an equidigital number, since it uses as much as digits as its factorization.

38124815564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 38124815564160 in words is "thirty-eight trillion, one hundred twenty-four billion, eight hundred fifteen million, five hundred sixty-four thousand, one hundred sixty".