82399842000 has 960 divisors, whose sum is σ = 348286708224. Its totient is φ = 18438451200.

The previous prime is 82399841939. The next prime is 82399842001. The reversal of 82399842000 is 24899328.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82399842001) 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, 180305772 + ... + 180306228.

Almost surely, 2^82399842000 is an apocalyptic number.

82399842000 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 82399842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174143354112).

82399842000 is an abundant number, since it is smaller than the sum of its proper divisors (265886866224).

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

82399842000 is a wasteful number, since it uses less digits than its factorization.

82399842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 82399842000 in words is "eighty-two billion, three hundred ninety-nine million, eight hundred forty-two thousand".