82956636000 has 960 divisors, whose sum is σ = 353141268480. Its totient is φ = 18681062400.

The previous prime is 82956635987. The next prime is 82956636001. The reversal of 82956636000 is 63665928.

It is a happy number.

82956636000 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 6 + 636 + 0 + 0 + 0 = 666.

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 (82956636001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179171769 + ... + 179172231.

It is an arithmetic number, because the mean of its divisors is an integer number (367855488).

Almost surely, 2^82956636000 is an apocalyptic number.

82956636000 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 82956636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176570634240).

82956636000 is an abundant number, since it is smaller than the sum of its proper divisors (270184632480).

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

82956636000 is a wasteful number, since it uses less digits than its factorization.

82956636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 82956636000 in words is "eighty-two billion, nine hundred fifty-six million, six hundred thirty-six thousand".