83479716096 has 288 divisors, whose sum is σ = 261274610688. Its totient is φ = 23170129920.

The previous prime is 83479716049. The next prime is 83479716113. The reversal of 83479716096 is 69061797438.

It is a super-2 number, since 2×83479716096² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27217155 + ... + 27220221.

Almost surely, 2^83479716096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83479716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130637305344).

83479716096 is an abundant number, since it is smaller than the sum of its proper divisors (177794894592).

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

83479716096 is a wasteful number, since it uses less digits than its factorization.

83479716096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 83479716096 in words is "eighty-three billion, four hundred seventy-nine million, seven hundred sixteen thousand, ninety-six".