83427886080000 has 2520 divisors, whose sum is σ = 382281425285760. Its totient is φ = 17330503680000.

The previous prime is 83427886079953. The next prime is 83427886080031. The reversal of 83427886080000 is 8068872438.

83427886080000 is a `hidden beast` number, since 8 + 3 + 4 + 27 + 8 + 8 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 24837118321 + ... + 24837121679.

It is an arithmetic number, because the mean of its divisors is an integer number (151698978288).

Almost surely, 2^{83427886080000} is an apocalyptic number.

83427886080000 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 83427886080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191140712642880).

83427886080000 is an abundant number, since it is smaller than the sum of its proper divisors (298853539205760).

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

83427886080000 is a wasteful number, since it uses less digits than its factorization.

83427886080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 83427886080000 in words is "eighty-three trillion, four hundred twenty-seven billion, eight hundred eighty-six million, eighty thousand".