160517411640 has 384 divisors, whose sum is σ = 561245630400. Its totient is φ = 41211555840.

The previous prime is 160517411617. The next prime is 160517411687. The reversal of 160517411640 is 46114715061.

160517411640 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 1 + 7 + 4 + 1 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 160517411595 and 160517411604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146858934 + ... + 146860026.

Almost surely, 2^160517411640 is an apocalyptic number.

160517411640 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 160517411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280622815200).

160517411640 is an abundant number, since it is smaller than the sum of its proper divisors (400728218760).

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

160517411640 is a wasteful number, since it uses less digits than its factorization.

160517411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 160517411640 in words is "one hundred sixty billion, five hundred seventeen million, four hundred eleven thousand, six hundred forty".