83851034400 has 324 divisors, whose sum is σ = 343955395602. Its totient is φ = 19165870080.

The previous prime is 83851034383. The next prime is 83851034429. The reversal of 83851034400 is 443015838.

It can be written as a sum of positive squares in 3 ways, for example, as 33134192784 + 50716841616 = 182028^2 + 225204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 233964 + ... + 471636.

Almost surely, 2^83851034400 is an apocalyptic number.

83851034400 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 83851034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171977697801).

83851034400 is an abundant number, since it is smaller than the sum of its proper divisors (260104361202).

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

83851034400 is a wasteful number, since it uses less digits than its factorization.

83851034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237713 (or 237690 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 83851034400 in words is "eighty-three billion, eight hundred fifty-one million, thirty-four thousand, four hundred".