84200860800 has 1152 divisors, whose sum is σ = 368309760000. Its totient is φ = 18587750400.

The previous prime is 84200860781. The next prime is 84200860837. The reversal of 84200860800 is 806800248.

84200860800 is a `hidden beast` number, since 8 + 42 + 0 + 0 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 168738951 + ... + 168739449.

Almost surely, 2^84200860800 is an apocalyptic number.

84200860800 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 84200860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880000).

84200860800 is an abundant number, since it is smaller than the sum of its proper divisors (284108899200).

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

84200860800 is a wasteful number, since it uses less digits than its factorization.

84200860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 84200860800 in words is "eighty-four billion, two hundred million, eight hundred sixty thousand, eight hundred".