82922512216500 has 144 divisors (see below), whose sum is σ = 285374056758336. Its totient is φ = 20102427192000.

The previous prime is 82922512216499. The next prime is 82922512216529. The reversal of 82922512216500 is 561221522928.

82922512216500 is a `hidden beast` number, since 8 + 2 + 9 + 2 + 2 + 5 + 122 + 16 + 500 = 666.

It is a super-2 number, since 2×82922512216500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837551634 + ... + 837650633.

It is an arithmetic number, because the mean of its divisors is an integer number (1981764283044).

Almost surely, 2^{82922512216500} is an apocalyptic number.

It is an amenable number.

82922512216500 is an abundant number, since it is smaller than the sum of its proper divisors (202451544541836).

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

82922512216500 is a wasteful number, since it uses less digits than its factorization.

82922512216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675202303 (or 1675202288 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 82922512216500 in words is "eighty-two trillion, nine hundred twenty-two billion, five hundred twelve million, two hundred sixteen thousand, five hundred".