83355926905920 has 896 divisors, whose sum is σ = 295538761728000. Its totient is φ = 19808696033280.

The previous prime is 83355926905907. The next prime is 83355926905921. The reversal of 83355926905920 is 2950962955338.

It is not an unprimeable number, because it can be changed into a prime (83355926905921) 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, 12480297141 + ... + 12480303819.

It is an arithmetic number, because the mean of its divisors is an integer number (329842368000).

Almost surely, 2^{83355926905920} is an apocalyptic number.

83355926905920 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 83355926905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147769380864000).

83355926905920 is an abundant number, since it is smaller than the sum of its proper divisors (212182834822080).

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

83355926905920 is a wasteful number, since it uses less digits than its factorization.

83355926905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 157464000, while the sum is 66.

The spelling of 83355926905920 in words is "eighty-three trillion, three hundred fifty-five billion, nine hundred twenty-six million, nine hundred five thousand, nine hundred twenty".