83785106160 has 320 divisors, whose sum is σ = 340462018560. Its totient is φ = 18533007360.

The previous prime is 83785106149. The next prime is 83785106219. The reversal of 83785106160 is 6160158738.

83785106160 is a `hidden beast` number, since 8 + 3 + 78 + 510 + 6 + 1 + 60 = 666.

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 63 ways as a sum of consecutive naturals, for example, 379344 + ... + 558096.

It is an arithmetic number, because the mean of its divisors is an integer number (1063943808).

Almost surely, 2^83785106160 is an apocalyptic number.

83785106160 is a gapful number since it is divisible by the number (80) 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 83785106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170231009280).

83785106160 is an abundant number, since it is smaller than the sum of its proper divisors (256676912400).

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

83785106160 is a wasteful number, since it uses less digits than its factorization.

83785106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178813 (or 178801 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 83785106160 in words is "eighty-three billion, seven hundred eighty-five million, one hundred six thousand, one hundred sixty".