83427736043520 has 2160 divisors, whose sum is σ = 333212154807168. Its totient is φ = 19882353623040.

The previous prime is 83427736043503. The next prime is 83427736043539. The reversal of 83427736043520 is 2534063772438.

83427736043520 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 7 + 7 + 3 + 604 + 3 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×83427736043520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 608961576892 + ... + 608961577028.

Almost surely, 2^{83427736043520} is an apocalyptic number.

83427736043520 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 83427736043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166606077403584).

83427736043520 is an abundant number, since it is smaller than the sum of its proper divisors (249784418763648).

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

83427736043520 is an equidigital number, since it uses as much as digits as its factorization.

83427736043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 83427736043520 in words is "eighty-three trillion, four hundred twenty-seven billion, seven hundred thirty-six million, forty-three thousand, five hundred twenty".