160511379840 has 1024 divisors, whose sum is σ = 689200128000. Its totient is φ = 34488115200.

The previous prime is 160511379817. The next prime is 160511379851. The reversal of 160511379840 is 48973115061.

160511379840 is a `hidden beast` number, since 1 + 6 + 0 + 511 + 3 + 7 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484928475 + ... + 484928805.

It is an arithmetic number, because the mean of its divisors is an integer number (673047000).

Almost surely, 2^160511379840 is an apocalyptic number.

160511379840 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 160511379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344600064000).

160511379840 is an abundant number, since it is smaller than the sum of its proper divisors (528688748160).

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

160511379840 is a wasteful number, since it uses less digits than its factorization.

160511379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 160511379840 in words is "one hundred sixty billion, five hundred eleven million, three hundred seventy-nine thousand, eight hundred forty".