83327555520 has 448 divisors, whose sum is σ = 321693235200. Its totient is φ = 20137144320.

The previous prime is 83327555513. The next prime is 83327555551. The reversal of 83327555520 is 2555572338.

It is a happy number.

83327555520 is a `hidden beast` number, since 8 + 3 + 3 + 2 + 75 + 55 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34878486 + ... + 34880874.

Almost surely, 2^83327555520 is an apocalyptic number.

83327555520 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 83327555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160846617600).

83327555520 is an abundant number, since it is smaller than the sum of its proper divisors (238365679680).

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

83327555520 is a wasteful number, since it uses less digits than its factorization.

83327555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 83327555520 in words is "eighty-three billion, three hundred twenty-seven million, five hundred fifty-five thousand, five hundred twenty".