160021409760 has 576 divisors, whose sum is σ = 590698967040. Its totient is φ = 40863191040.

The previous prime is 160021409707. The next prime is 160021409761. The reversal of 160021409760 is 67904120061.

160021409760 is a `hidden beast` number, since 1 + 600 + 2 + 1 + 40 + 9 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160021409761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124143196 + ... + 124144484.

It is an arithmetic number, because the mean of its divisors is an integer number (1025519040).

Almost surely, 2^160021409760 is an apocalyptic number.

160021409760 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 160021409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295349483520).

160021409760 is an abundant number, since it is smaller than the sum of its proper divisors (430677557280).

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

160021409760 is a wasteful number, since it uses less digits than its factorization.

160021409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 160021409760 in words is "one hundred sixty billion, twenty-one million, four hundred nine thousand, seven hundred sixty".