83283371280 has 240 divisors, whose sum is σ = 296851785984. Its totient is φ = 20852674560.

The previous prime is 83283371201. The next prime is 83283371291. The reversal of 83283371280 is 8217338238.

83283371280 is a `hidden beast` number, since 8 + 32 + 8 + 337 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×83283371280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5267547 + ... + 5283333.

Almost surely, 2^83283371280 is an apocalyptic number.

83283371280 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 83283371280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148425892992).

83283371280 is an abundant number, since it is smaller than the sum of its proper divisors (213568414704).

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

83283371280 is a wasteful number, since it uses less digits than its factorization.

83283371280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16254 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 83283371280 in words is "eighty-three billion, two hundred eighty-three million, three hundred seventy-one thousand, two hundred eighty".