38649887588160 has 896 divisors, whose sum is σ = 143368743813120. Its totient is φ = 9789067468800.

The previous prime is 38649887588153. The next prime is 38649887588171. The reversal of 38649887588160 is 6188578894683.

38649887588160 is a `hidden beast` number, since 38 + 6 + 498 + 8 + 7 + 5 + 88 + 16 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38649887588160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8218132369 + ... + 8218137071.

It is an arithmetic number, because the mean of its divisors is an integer number (160009758720).

Almost surely, 2^{38649887588160} is an apocalyptic number.

38649887588160 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 38649887588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71684371906560).

38649887588160 is an abundant number, since it is smaller than the sum of its proper divisors (104718856224960).

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

38649887588160 is a wasteful number, since it uses less digits than its factorization.

38649887588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 38649887588160 in words is "thirty-eight trillion, six hundred forty-nine billion, eight hundred eighty-seven million, five hundred eighty-eight thousand, one hundred sixty".