160580936040 has 192 divisors, whose sum is σ = 560676168000. Its totient is φ = 36685780992.

The previous prime is 160580936011. The next prime is 160580936041. The reversal of 160580936040 is 40639085061.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 160580935983 and 160580936001.

It is not an unprimeable number, because it can be changed into a prime (160580936041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14206311 + ... + 14217609.

It is an arithmetic number, because the mean of its divisors is an integer number (2920188375).

Almost surely, 2^160580936040 is an apocalyptic number.

160580936040 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 160580936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280338084000).

160580936040 is an abundant number, since it is smaller than the sum of its proper divisors (400095231960).

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

160580936040 is a wasteful number, since it uses less digits than its factorization.

160580936040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 160580936040 in words is "one hundred sixty billion, five hundred eighty million, nine hundred thirty-six thousand, forty".