160657271910432 has 768 divisors, whose sum is σ = 540474408714240. Its totient is φ = 45972657561600.

The previous prime is 160657271910427. The next prime is 160657271910433. The reversal of 160657271910432 is 234019172756061.

160657271910432 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 57 + 2 + 71 + 91 + 0 + 432 = 666.

160657271910432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (160657271910433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14151079668 + ... + 14151091020.

It is an arithmetic number, because the mean of its divisors is an integer number (703742719680).

Almost surely, 2^{160657271910432} is an apocalyptic number.

160657271910432 is a gapful number since it is divisible by the number (12) 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 160657271910432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270237204357120).

160657271910432 is an abundant number, since it is smaller than the sum of its proper divisors (379817136803808).

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

160657271910432 is a wasteful number, since it uses less digits than its factorization.

160657271910432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12574 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 160657271910432 in words is "one hundred sixty trillion, six hundred fifty-seven billion, two hundred seventy-one million, nine hundred ten thousand, four hundred thirty-two".