822678405120 has 2160 divisors, whose sum is σ = 3690939889728. Its totient is φ = 173266698240.

The previous prime is 822678405083. The next prime is 822678405121. The reversal of 822678405120 is 21504876228.

822678405120 is a `hidden beast` number, since 8 + 2 + 26 + 78 + 40 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822678405121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48392847352 + ... + 48392847368.

Almost surely, 2^822678405120 is an apocalyptic number.

822678405120 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 822678405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845469944864).

822678405120 is an abundant number, since it is smaller than the sum of its proper divisors (2868261484608).

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

822678405120 is a wasteful number, since it uses less digits than its factorization.

822678405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 822678405120 in words is "eight hundred twenty-two billion, six hundred seventy-eight million, four hundred five thousand, one hundred twenty".