822222095132160 has 1920 divisors, whose sum is σ = 3164358868070400. Its totient is φ = 204159609077760.

The previous prime is 822222095132143. The next prime is 822222095132227. The reversal of 822222095132160 is 61231590222228.

822222095132160 is a `hidden beast` number, since 8 + 2 + 222 + 209 + 5 + 1 + 3 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 171689723046 + ... + 171689727834.

It is an arithmetic number, because the mean of its divisors is an integer number (1648103577120).

Almost surely, 2^{822222095132160} is an apocalyptic number.

822222095132160 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 822222095132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582179434035200).

822222095132160 is an abundant number, since it is smaller than the sum of its proper divisors (2342136772938240).

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

822222095132160 is a wasteful number, since it uses less digits than its factorization.

822222095132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 822222095132160 in words is "eight hundred twenty-two trillion, two hundred twenty-two billion, ninety-five million, one hundred thirty-two thousand, one hundred sixty".