82133990400 has 2112 divisors, whose sum is σ = 385981009920. Its totient is φ = 14863564800.

The previous prime is 82133990387. The next prime is 82133990401. The reversal of 82133990400 is 409933128.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82133990401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1910092779 + ... + 1910092821.

It is an arithmetic number, because the mean of its divisors is an integer number (182756160).

Almost surely, 2^82133990400 is an apocalyptic number.

82133990400 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 82133990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192990504960).

82133990400 is an abundant number, since it is smaller than the sum of its proper divisors (303847019520).

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

82133990400 is a wasteful number, since it uses less digits than its factorization.

82133990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 82133990400 in words is "eighty-two billion, one hundred thirty-three million, nine hundred ninety thousand, four hundred".