82042098400 has 36 divisors (see below), whose sum is σ = 200285274672. Its totient is φ = 32816839040.

The previous prime is 82042098373. The next prime is 82042098529. The reversal of 82042098400 is 489024028.

It is a self number, because there is not a number n which added to its sum of digits gives 82042098400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51275512 + ... + 51277111.

It is an arithmetic number, because the mean of its divisors is an integer number (5563479852).

Almost surely, 2^82042098400 is an apocalyptic number.

82042098400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82042098400 is an abundant number, since it is smaller than the sum of its proper divisors (118243176272).

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

82042098400 is a wasteful number, since it uses less digits than its factorization.

82042098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102552643 (or 102552630 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 82042098400 in words is "eighty-two billion, forty-two million, ninety-eight thousand, four hundred".