82651633020 has 144 divisors (see below), whose sum is σ = 275656163328. Its totient is φ = 19878929280.

The previous prime is 82651632991. The next prime is 82651633079. The reversal of 82651633020 is 2033615628.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87117 + ... + 415803.

It is an arithmetic number, because the mean of its divisors is an integer number (1914278912).

Almost surely, 2^82651633020 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 82651633020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137828081664).

82651633020 is an abundant number, since it is smaller than the sum of its proper divisors (193004530308).

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

82651633020 is a wasteful number, since it uses less digits than its factorization.

82651633020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328840 (or 328835 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 82651633020 in words is "eighty-two billion, six hundred fifty-one million, six hundred thirty-three thousand, twenty".