82611035136 has 704 divisors, whose sum is σ = 297126144000. Its totient is φ = 22171484160.

The previous prime is 82611035099. The next prime is 82611035137. The reversal of 82611035136 is 63153011628.

82611035136 is a `hidden beast` number, since 8 + 2 + 611 + 0 + 3 + 5 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82611035136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82611035137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230114125 + ... + 230114483.

Almost surely, 2^82611035136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82611035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148563072000).

82611035136 is an abundant number, since it is smaller than the sum of its proper divisors (214515108864).

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

82611035136 is a wasteful number, since it uses less digits than its factorization.

82611035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 82611035136 in words is "eighty-two billion, six hundred eleven million, thirty-five thousand, one hundred thirty-six".