83412228536000 has 896 divisors, whose sum is σ = 265660638437376. Its totient is φ = 25215982387200.

The previous prime is 83412228535939. The next prime is 83412228536003. The reversal of 83412228536000 is 63582221438.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83412228536003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13780308974 + ... + 13780315026.

It is an arithmetic number, because the mean of its divisors is an integer number (296496248256).

Almost surely, 2^{83412228536000} is an apocalyptic number.

83412228536000 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 83412228536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132830319218688).

83412228536000 is an abundant number, since it is smaller than the sum of its proper divisors (182248409901376).

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

83412228536000 is a wasteful number, since it uses less digits than its factorization.

83412228536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 83412228536000 in words is "eighty-three trillion, four hundred twelve billion, two hundred twenty-eight million, five hundred thirty-six thousand".