82168222500 has 1125 divisors, whose sum is σ = 339077242581. Its totient is φ = 17336592000.

The previous prime is 82168222481. The next prime is 82168222519. The reversal of 82168222500 is 522286128.

The square root of 82168222500 is 286650.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82168222481) and next prime (82168222519).

It can be written as a sum of positive squares in 7 ways, for example, as 81160032996 + 1008189504 = 284886^2 + 31752^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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

It is an unprimeable number.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 6320632494 + ... + 6320632506.

Almost surely, 2^82168222500 is an apocalyptic number.

82168222500 is the 286650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82168222500

82168222500 is an abundant number, since it is smaller than the sum of its proper divisors (256909020081).

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

82168222500 is an equidigital number, since it uses as much as digits as its factorization.

82168222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 82168222500 by its sum of digits (36), we get a square (2958056010000 = 1719900²).

82168222500 divided by its sum of digits (36) gives a square (2282450625 = 47775²).

The spelling of 82168222500 in words is "eighty-two billion, one hundred sixty-eight million, two hundred twenty-two thousand, five hundred".