160038188415072 has 72 divisors (see below), whose sum is σ = 496482107252040. Its totient is φ = 48496420730880.

The previous prime is 160038188415071. The next prime is 160038188415167. The reversal of 160038188415072 is 270514881830061.

160038188415072 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 3 + 81 + 88 + 415 + 0 + 72 = 666.

160038188415072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×160038188415072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160038188415071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25258549297 + ... + 25258555632.

It is an arithmetic number, because the mean of its divisors is an integer number (6895584822945).

Almost surely, 2^{160038188415072} is an apocalyptic number.

160038188415072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

160038188415072 is an abundant number, since it is smaller than the sum of its proper divisors (336443918836968).

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

160038188415072 is a wasteful number, since it uses less digits than its factorization.

160038188415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50517104956 (or 50517104945 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 160038188415072 in words is "one hundred sixty trillion, thirty-eight billion, one hundred eighty-eight million, four hundred fifteen thousand, seventy-two".