82819044000 has 1536 divisors, whose sum is σ = 393094840320. Its totient is φ = 16422912000.

The previous prime is 82819043959. The next prime is 82819044001. The reversal of 82819044000 is 44091828.

82819044000 is a `hidden beast` number, since 8 + 28 + 190 + 440 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82819044001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 191267784 + ... + 191268216.

It is an arithmetic number, because the mean of its divisors is an integer number (255921120).

Almost surely, 2^82819044000 is an apocalyptic number.

82819044000 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 82819044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

82819044000 is an abundant number, since it is smaller than the sum of its proper divisors (310275796320).

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

82819044000 is a wasteful number, since it uses less digits than its factorization.

82819044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 82819044000 in words is "eighty-two billion, eight hundred nineteen million, forty-four thousand".