83285848800 has 972 divisors, whose sum is σ = 375709265568. Its totient is φ = 17297280000.

The previous prime is 83285848787. The next prime is 83285848817. The reversal of 83285848800 is 884858238.

83285848800 is a `hidden beast` number, since 83 + 2 + 85 + 8 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×83285848800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 42687825 + ... + 42689775.

Almost surely, 2^83285848800 is an apocalyptic number.

83285848800 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 83285848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187854632784).

83285848800 is an abundant number, since it is smaller than the sum of its proper divisors (292423416768).

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

83285848800 is a wasteful number, since it uses less digits than its factorization.

83285848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 83285848800 in words is "eighty-three billion, two hundred eighty-five million, eight hundred forty-eight thousand, eight hundred".