83853035838 has 128 divisors (see below), whose sum is σ = 221378572800. Its totient is φ = 23191660800.

The previous prime is 83853035837. The next prime is 83853035869.

83853035838 is a `hidden beast` number, since 8 + 3 + 8 + 53 + 0 + 3 + 583 + 8 = 666.

83853035838 is nontrivially palindromic in base 10.

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 (83853035831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626253 + ... + 748263.

It is an arithmetic number, because the mean of its divisors is an integer number (1729520100).

Almost surely, 2^83853035838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83853035838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110689286400).

83853035838 is an abundant number, since it is smaller than the sum of its proper divisors (137525536962).

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

83853035838 is a wasteful number, since it uses less digits than its factorization.

83853035838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122135 (or 122129 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 83853035838 in words is "eighty-three billion, eight hundred fifty-three million, thirty-five thousand, eight hundred thirty-eight".