160956573834240 has 2112 divisors, whose sum is σ = 607741626286080. Its totient is φ = 39305582346240.

The previous prime is 160956573834229. The next prime is 160956573834263. The reversal of 160956573834240 is 42438375659061.

160956573834240 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 5 + 6 + 5 + 7 + 383 + 4 + 240 = 666.

It is a super-4 number, since 4×160956573834240⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366643675941 + ... + 366643676379.

It is an arithmetic number, because the mean of its divisors is an integer number (287756451840).

It is a 1-persistent number, because it is pandigital, but 2⋅160956573834240 = 321913147668480 is not.

Almost surely, 2^{160956573834240} is an apocalyptic number.

160956573834240 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 160956573834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303870813143040).

160956573834240 is an abundant number, since it is smaller than the sum of its proper divisors (446785052451840).

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

160956573834240 is a wasteful number, since it uses less digits than its factorization.

160956573834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 160956573834240 in words is "one hundred sixty trillion, nine hundred fifty-six billion, five hundred seventy-three million, eight hundred thirty-four thousand, two hundred forty".