83041073280 has 384 divisors, whose sum is σ = 313608335040. Its totient is φ = 20080435200.

The previous prime is 83041073273. The next prime is 83041073287. The reversal of 83041073280 is 8237014038.

83041073280 is a `hidden beast` number, since 8 + 304 + 1 + 0 + 73 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (83041073273) and next prime (83041073287).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83041073287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29207539 + ... + 29210381.

Almost surely, 2^83041073280 is an apocalyptic number.

83041073280 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 83041073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156804167520).

83041073280 is an abundant number, since it is smaller than the sum of its proper divisors (230567261760).

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

83041073280 is a wasteful number, since it uses less digits than its factorization.

83041073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 83041073280 in words is "eighty-three billion, forty-one million, seventy-three thousand, two hundred eighty".