38919068160 has 640 divisors, whose sum is σ = 147905961984. Its totient is φ = 8546549760.

The previous prime is 38919068129. The next prime is 38919068197. The reversal of 38919068160 is 6186091983.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184450455 + ... + 184450665.

Almost surely, 2^38919068160 is an apocalyptic number.

38919068160 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 38919068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73952980992).

38919068160 is an abundant number, since it is smaller than the sum of its proper divisors (108986893824).

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

38919068160 is a wasteful number, since it uses less digits than its factorization.

38919068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 38919068160 in words is "thirty-eight billion, nine hundred nineteen million, sixty-eight thousand, one hundred sixty".