38120060160 has 2304 divisors, whose sum is σ = 189882040320. Its totient is φ = 7007109120.

The previous prime is 38120060119. The next prime is 38120060213. The reversal of 38120060160 is 6106002183.

38120060160 is a `hidden beast` number, since 38 + 1 + 20 + 0 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1229679345 + ... + 1229679375.

It is an arithmetic number, because the mean of its divisors is an integer number (82414080).

Almost surely, 2^38120060160 is an apocalyptic number.

38120060160 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 38120060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94941020160).

38120060160 is an abundant number, since it is smaller than the sum of its proper divisors (151761980160).

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

38120060160 is a wasteful number, since it uses less digits than its factorization.

38120060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 38120060160 in words is "thirty-eight billion, one hundred twenty million, sixty thousand, one hundred sixty".