82213090560 has 288 divisors, whose sum is σ = 295747831680. Its totient is φ = 21622505472.

The previous prime is 82213090543. The next prime is 82213090637. The reversal of 82213090560 is 6509031228.

82213090560 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 3 + 0 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×82213090560² (a number of 23 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506587 + ... + 2539173.

Almost surely, 2^82213090560 is an apocalyptic number.

82213090560 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 82213090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147873915840).

82213090560 is an abundant number, since it is smaller than the sum of its proper divisors (213534741120).

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

82213090560 is a wasteful number, since it uses less digits than its factorization.

82213090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32690 (or 32670 counting only the distinct ones).

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

The spelling of 82213090560 in words is "eighty-two billion, two hundred thirteen million, ninety thousand, five hundred sixty".