83365807824 has 480 divisors, whose sum is σ = 280262062080. Its totient is φ = 23771045376.

The previous prime is 83365807823. The next prime is 83365807873. The reversal of 83365807824 is 42870856338.

83365807824 is a `hidden beast` number, since 8 + 3 + 36 + 580 + 7 + 8 + 24 = 666.

It is a super-2 number, since 2×83365807824² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83365807823) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45134869 + ... + 45136715.

It is an arithmetic number, because the mean of its divisors is an integer number (583879296).

Almost surely, 2^83365807824 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 83365807824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140131031040).

83365807824 is an abundant number, since it is smaller than the sum of its proper divisors (196896254256).

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

83365807824 is a wasteful number, since it uses less digits than its factorization.

83365807824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 83365807824 in words is "eighty-three billion, three hundred sixty-five million, eight hundred seven thousand, eight hundred twenty-four".