83822745600000 has 2160 divisors, whose sum is σ = 345014427663360. Its totient is φ = 19410124800000.

The previous prime is 83822745599981. The next prime is 83822745600091. The reversal of 83822745600000 is 654722838.

83822745600000 is a `hidden beast` number, since 8 + 3 + 82 + 2 + 7 + 4 + 560 + 0 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 116582399641 + ... + 116582400359.

It is an arithmetic number, because the mean of its divisors is an integer number (159728901696).

Almost surely, 2^{83822745600000} is an apocalyptic number.

83822745600000 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 83822745600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172507213831680).

83822745600000 is an abundant number, since it is smaller than the sum of its proper divisors (261191682063360).

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

83822745600000 is an equidigital number, since it uses as much as digits as its factorization.

83822745600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 83822745600000 in words is "eighty-three trillion, eight hundred twenty-two billion, seven hundred forty-five million, six hundred thousand".