82802899077120 has 576 divisors, whose sum is σ = 295954509942000. Its totient is φ = 21397493514240.

The previous prime is 82802899077103. The next prime is 82802899077127. The reversal of 82802899077120 is 2177099820828.

82802899077120 is a `hidden beast` number, since 8 + 2 + 80 + 289 + 90 + 77 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15028798464 + 82787870278656 = 122592^2 + 9098784^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (82802899077127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562931904 + ... + 563078976.

Almost surely, 2^{82802899077120} is an apocalyptic number.

82802899077120 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 82802899077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147977254971000).

82802899077120 is an abundant number, since it is smaller than the sum of its proper divisors (213151610864880).

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

82802899077120 is a wasteful number, since it uses less digits than its factorization.

82802899077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147296 (or 147273 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 82802899077120 in words is "eighty-two trillion, eight hundred two billion, eight hundred ninety-nine million, seventy-seven thousand, one hundred twenty".