82019995200 has 2016 divisors, whose sum is σ = 380023176960. Its totient is φ = 17031168000.

The previous prime is 82019995171. The next prime is 82019995229. The reversal of 82019995200 is 259991028.

82019995200 is a `hidden beast` number, since 8 + 20 + 19 + 99 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82019995171) and next prime (82019995229).

It is a super-2 number, since 2×82019995200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1155211165 + ... + 1155211235.

It is an arithmetic number, because the mean of its divisors is an integer number (188503560).

Almost surely, 2^82019995200 is an apocalyptic number.

82019995200 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 82019995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190011588480).

82019995200 is an abundant number, since it is smaller than the sum of its proper divisors (298003181760).

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

82019995200 is a wasteful number, since it uses less digits than its factorization.

82019995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 82019995200 in words is "eighty-two billion, nineteen million, nine hundred ninety-five thousand, two hundred".