822191604960 has 96 divisors (see below), whose sum is σ = 2825349351552. Its totient is φ = 199319175680.

The previous prime is 822191604953. The next prime is 822191604977. The reversal of 822191604960 is 69406191228.

822191604960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77853774 + ... + 77864333.

It is an arithmetic number, because the mean of its divisors is an integer number (29430722412).

Almost surely, 2^822191604960 is an apocalyptic number.

822191604960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

822191604960 is an abundant number, since it is smaller than the sum of its proper divisors (2003157746592).

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

822191604960 is a wasteful number, since it uses less digits than its factorization.

822191604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155718136 (or 155718128 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 822191604960 in words is "eight hundred twenty-two billion, one hundred ninety-one million, six hundred four thousand, nine hundred sixty".