83188206400 has 336 divisors, whose sum is σ = 228585369600. Its totient is φ = 29602160640.

The previous prime is 83188206373. The next prime is 83188206403. The reversal of 83188206400 is 460288138.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83188206403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65040961 + ... + 65042239.

It is an arithmetic number, because the mean of its divisors is an integer number (680313600).

Almost surely, 2^83188206400 is an apocalyptic number.

83188206400 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 83188206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114292684800).

83188206400 is an abundant number, since it is smaller than the sum of its proper divisors (145397163200).

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

83188206400 is a wasteful number, since it uses less digits than its factorization.

83188206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 83188206400 in words is "eighty-three billion, one hundred eighty-eight million, two hundred six thousand, four hundred".