83516720837508 has 144 divisors (see below), whose sum is σ = 247923418439424. Its totient is φ = 23204629405440.

The previous prime is 83516720837479. The next prime is 83516720837509. The reversal of 83516720837508 is 80573802761538.

83516720837508 is a `hidden beast` number, since 8 + 3 + 51 + 6 + 7 + 208 + 375 + 0 + 8 = 666.

83516720837508 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (83516720837509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15115113 + ... + 19887183.

Almost surely, 2^{83516720837508} 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 83516720837508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123961709219712).

83516720837508 is an abundant number, since it is smaller than the sum of its proper divisors (164406697601916).

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

83516720837508 is a wasteful number, since it uses less digits than its factorization.

83516720837508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774002 (or 4773997 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 83516720837508 in words is "eighty-three trillion, five hundred sixteen billion, seven hundred twenty million, eight hundred thirty-seven thousand, five hundred eight".