160031047680 has 1280 divisors, whose sum is σ = 724775040000. Its totient is φ = 32614907904.

The previous prime is 160031047679. The next prime is 160031047717. The reversal of 160031047680 is 86740130061.

160031047680 is a `hidden beast` number, since 1 + 600 + 3 + 1 + 0 + 47 + 6 + 8 + 0 = 666.

160031047680 is digitally balanced in base 3, because in such base 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 (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8422686711 + ... + 8422686729.

It is an arithmetic number, because the mean of its divisors is an integer number (566230500).

Almost surely, 2^160031047680 is an apocalyptic number.

160031047680 is a gapful number since it is divisible by the number (10) 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 160031047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362387520000).

160031047680 is an abundant number, since it is smaller than the sum of its proper divisors (564743992320).

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

160031047680 is an frugal number, since it uses more digits than its factorization.

160031047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 160031047680 in words is "one hundred sixty billion, thirty-one million, forty-seven thousand, six hundred eighty".