83838054400 has 156 divisors (see below), whose sum is σ = 216937914192. Its totient is φ = 32076267520.

The previous prime is 83838054371. The next prime is 83838054409. The reversal of 83838054400 is 445083838.

It is not an unprimeable number, because it can be changed into a prime (83838054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2337402 + ... + 2372998.

Almost surely, 2^83838054400 is an apocalyptic number.

83838054400 is a gapful number since it is divisible by the number (80) 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 83838054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108468957096).

83838054400 is an abundant number, since it is smaller than the sum of its proper divisors (133099859792).

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

83838054400 is a wasteful number, since it uses less digits than its factorization.

83838054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35654 (or 35627 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 83838054400 in words is "eighty-three billion, eight hundred thirty-eight million, fifty-four thousand, four hundred".