82722766928500 has 96 divisors (see below), whose sum is σ = 182462609871360. Its totient is φ = 32760301248000.

The previous prime is 82722766928443. The next prime is 82722766928537. The reversal of 82722766928500 is 582966722728.

It is a super-2 number, since 2×82722766928500² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 225953596 + ... + 226319404.

It is an arithmetic number, because the mean of its divisors is an integer number (1900652186160).

Almost surely, 2^{82722766928500} 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 82722766928500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91231304935680).

82722766928500 is an abundant number, since it is smaller than the sum of its proper divisors (99739842942860).

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

82722766928500 is a wasteful number, since it uses less digits than its factorization.

82722766928500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370322 (or 370310 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 82722766928500 in words is "eighty-two trillion, seven hundred twenty-two billion, seven hundred sixty-six million, nine hundred twenty-eight thousand, five hundred".