160787773440 has 1344 divisors, whose sum is σ = 703816102080. Its totient is φ = 34398535680.

The previous prime is 160787773403. The next prime is 160787773481. The reversal of 160787773440 is 44377787061.

It is a happy number.

160787773440 is a `hidden beast` number, since 1 + 60 + 7 + 8 + 77 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 888330150 + ... + 888330330.

It is an arithmetic number, because the mean of its divisors is an integer number (523672695).

Almost surely, 2^160787773440 is an apocalyptic number.

160787773440 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 160787773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351908051040).

160787773440 is an abundant number, since it is smaller than the sum of its proper divisors (543028328640).

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

160787773440 is an equidigital number, since it uses as much as digits as its factorization.

160787773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 160787773440 in words is "one hundred sixty billion, seven hundred eighty-seven million, seven hundred seventy-three thousand, four hundred forty".