83207513088 has 660 divisors, whose sum is σ = 294787159920. Its totient is φ = 23303282688.

The previous prime is 83207513071. The next prime is 83207513113. The reversal of 83207513088 is 88031570238.

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 59 ways as a sum of consecutive naturals, for example, 239790931 + ... + 239791277.

It is an arithmetic number, because the mean of its divisors is an integer number (446647212).

Almost surely, 2^83207513088 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 83207513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147393579960).

83207513088 is an abundant number, since it is smaller than the sum of its proper divisors (211579646832).

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

83207513088 is a wasteful number, since it uses less digits than its factorization.

83207513088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 83207513088 in words is "eighty-three billion, two hundred seven million, five hundred thirteen thousand, eighty-eight".