84283355520 has 2304 divisors, whose sum is σ = 408561408000. Its totient is φ = 16303472640.

The previous prime is 84283355479. The next prime is 84283355549. The reversal of 84283355520 is 2555338248.

84283355520 is a `hidden beast` number, since 8 + 42 + 8 + 33 + 55 + 520 = 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 287 ways as a sum of consecutive naturals, for example, 2718817905 + ... + 2718817935.

It is an arithmetic number, because the mean of its divisors is an integer number (177327000).

Almost surely, 2^84283355520 is an apocalyptic number.

84283355520 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 84283355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204280704000).

84283355520 is an abundant number, since it is smaller than the sum of its proper divisors (324278052480).

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

84283355520 is a wasteful number, since it uses less digits than its factorization.

84283355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 84283355520 in words is "eighty-four billion, two hundred eighty-three million, three hundred fifty-five thousand, five hundred twenty".