83328860160 has 1536 divisors, whose sum is σ = 384729246720. Its totient is φ = 16817061888.

The previous prime is 83328860129. The next prime is 83328860161. The reversal of 83328860160 is 6106882338.

83328860160 is a `hidden beast` number, since 8 + 3 + 32 + 8 + 8 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83328860161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3622993909 + ... + 3622993931.

It is an arithmetic number, because the mean of its divisors is an integer number (250474770).

Almost surely, 2^83328860160 is an apocalyptic number.

83328860160 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 83328860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192364623360).

83328860160 is an abundant number, since it is smaller than the sum of its proper divisors (301400386560).

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

83328860160 is an equidigital number, since it uses as much as digits as its factorization.

83328860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83328860160 in words is "eighty-three billion, three hundred twenty-eight million, eight hundred sixty thousand, one hundred sixty".