822557125353600 has 3072 divisors, whose sum is σ = 3742079291596800. Its totient is φ = 171821349273600.

The previous prime is 822557125353571. The next prime is 822557125353661. The reversal of 822557125353600 is 6353521755228.

It is a happy number.

822557125353600 is a `hidden beast` number, since 8 + 2 + 2 + 5 + 5 + 7 + 1 + 25 + 3 + 5 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 672573282589 + ... + 672573283811.

It is an arithmetic number, because the mean of its divisors is an integer number (1218124769400).

Almost surely, 2^{822557125353600} is an apocalyptic number.

822557125353600 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 822557125353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871039645798400).

822557125353600 is an abundant number, since it is smaller than the sum of its proper divisors (2919522166243200).

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

822557125353600 is a wasteful number, since it uses less digits than its factorization.

822557125353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 822557125353600 in words is "eight hundred twenty-two trillion, five hundred fifty-seven billion, one hundred twenty-five million, three hundred fifty-three thousand, six hundred".