160801986723840 has 5040 divisors, whose sum is σ = 772640613085824. Its totient is φ = 31447905730560.

The previous prime is 160801986723817. The next prime is 160801986723881. The reversal of 160801986723840 is 48327689108061.

160801986723840 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 0 + 198 + 67 + 2 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9458940395512 + ... + 9458940395528.

Almost surely, 2^{160801986723840} is an apocalyptic number.

160801986723840 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 160801986723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386320306542912).

160801986723840 is an abundant number, since it is smaller than the sum of its proper divisors (611838626361984).

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

160801986723840 is an frugal number, since it uses more digits than its factorization.

160801986723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 160801986723840 in words is "one hundred sixty trillion, eight hundred one billion, nine hundred eighty-six million, seven hundred twenty-three thousand, eight hundred forty".