82955378995200 has 468 divisors, whose sum is σ = 302164598512920. Its totient is φ = 21746480578560.

The previous prime is 82955378995199. The next prime is 82955378995207. The reversal of 82955378995200 is 259987355928.

82955378995200 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 5 + 3 + 7 + 8 + 99 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82955378995207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53611584 + ... + 55137216.

Almost surely, 2^{82955378995200} is an apocalyptic number.

82955378995200 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 82955378995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151082299256460).

82955378995200 is an abundant number, since it is smaller than the sum of its proper divisors (219209219517720).

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

82955378995200 is a wasteful number, since it uses less digits than its factorization.

82955378995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525732 (or 1525702 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 82955378995200 in words is "eighty-two trillion, nine hundred fifty-five billion, three hundred seventy-eight million, nine hundred ninety-five thousand, two hundred".