83388859475328 has 640 divisors, whose sum is σ = 274332446784000. Its totient is φ = 24932991283200.

The previous prime is 83388859475323. The next prime is 83388859475357. The reversal of 83388859475328 is 82357495888338.

83388859475328 is a `hidden beast` number, since 8 + 3 + 38 + 8 + 8 + 5 + 9 + 47 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83388859475323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24605740258 + ... + 24605743646.

It is an arithmetic number, because the mean of its divisors is an integer number (428644448100).

Almost surely, 2^{83388859475328} is an apocalyptic number.

83388859475328 is a gapful number since it is divisible by the number (88) 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 83388859475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137166223392000).

83388859475328 is an abundant number, since it is smaller than the sum of its proper divisors (190943587308672).

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

83388859475328 is a wasteful number, since it uses less digits than its factorization.

83388859475328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6215 counting only the distinct ones).

The product of its digits is 11147673600, while the sum is 81.

The spelling of 83388859475328 in words is "eighty-three trillion, three hundred eighty-eight billion, eight hundred fifty-nine million, four hundred seventy-five thousand, three hundred twenty-eight".