84117196800 has 1872 divisors, whose sum is σ = 399285694080. Its totient is φ = 16420700160.

The previous prime is 84117196753. The next prime is 84117196819. The reversal of 84117196800 is 869171148.

It is a happy number.

84117196800 is a `hidden beast` number, since 8 + 411 + 71 + 96 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1425715171 + ... + 1425715229.

It is an arithmetic number, because the mean of its divisors is an integer number (213293640).

Almost surely, 2^84117196800 is an apocalyptic number.

84117196800 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 84117196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199642847040).

84117196800 is an abundant number, since it is smaller than the sum of its proper divisors (315168497280).

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

84117196800 is a wasteful number, since it uses less digits than its factorization.

84117196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 84117196800 in words is "eighty-four billion, one hundred seventeen million, one hundred ninety-six thousand, eight hundred".