84705868800 has 1584 divisors, whose sum is σ = 376751823840. Its totient is φ = 18579456000.

The previous prime is 84705868787. The next prime is 84705868829. The reversal of 84705868800 is 886850748.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1388620770 + ... + 1388620830.

Almost surely, 2^84705868800 is an apocalyptic number.

84705868800 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 84705868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375911920).

84705868800 is an abundant number, since it is smaller than the sum of its proper divisors (292045955040).

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

84705868800 is a wasteful number, since it uses less digits than its factorization.

84705868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 84705868800 in words is "eighty-four billion, seven hundred five million, eight hundred sixty-eight thousand, eight hundred".