160948000080 has 640 divisors, whose sum is σ = 642816000000. Its totient is φ = 36256315392.

The previous prime is 160948000067. The next prime is 160948000141. The reversal of 160948000080 is 80000849061.

It is a happy number.

160948000080 is a `hidden beast` number, since 1 + 609 + 48 + 0 + 0 + 0 + 0 + 8 + 0 = 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 = 160947999999 and 160948000044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448322941 + ... + 448323299.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400000).

Almost surely, 2^160948000080 is an apocalyptic number.

160948000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160948000080 is the 200592-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160948000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000000).

160948000080 is an abundant number, since it is smaller than the sum of its proper divisors (481867999920).

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

160948000080 is a wasteful number, since it uses less digits than its factorization.

160948000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 160948000080 in words is "one hundred sixty billion, nine hundred forty-eight million, eighty", and thus it is an aban number.