9785180160 has 576 divisors, whose sum is σ = 40265164800. Its totient is φ = 2208301056.

The previous prime is 9785180143. The next prime is 9785180257. The reversal of 9785180160 is 610815879.

9785180160 is a `hidden beast` number, since 9 + 78 + 518 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123863001 + ... + 123863079.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 2^9785180160 is an apocalyptic number.

9785180160 is a gapful number since it is divisible by the number (90) 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 9785180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132582400).

9785180160 is an abundant number, since it is smaller than the sum of its proper divisors (30479984640).

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

9785180160 is an frugal number, since it uses more digits than its factorization.

9785180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 9785180160 is about 98920.0695511280. The cubic root of 9785180160 is about 2138.8957064945.

The spelling of 9785180160 in words is "nine billion, seven hundred eighty-five million, one hundred eighty thousand, one hundred sixty".