83850076385280 has 1664 divisors, whose sum is σ = 316733624524800. Its totient is φ = 21012324286464.

The previous prime is 83850076385261. The next prime is 83850076385287. The reversal of 83850076385280 is 8258367005838.

83850076385280 is a `hidden beast` number, since 8 + 3 + 8 + 5 + 0 + 0 + 76 + 38 + 528 + 0 = 666.

It is a super-3 number, since 3×83850076385280³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83850076385287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97161154129 + ... + 97161154991.

Almost surely, 2^{83850076385280} is an apocalyptic number.

83850076385280 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 83850076385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158366812262400).

83850076385280 is an abundant number, since it is smaller than the sum of its proper divisors (232883548139520).

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

83850076385280 is a wasteful number, since it uses less digits than its factorization.

83850076385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 83850076385280 in words is "eighty-three trillion, eight hundred fifty billion, seventy-six million, three hundred eighty-five thousand, two hundred eighty".